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Finding the Fourth Proportional to 460.76, 636.12 and 286.34

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Solution

The fourth proportional to 460.76, 636.12 and 286.34 is: 395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 636.12 = 286.34 : x
  2. Step 2: Convert to fraction form
    460.76/636.12 = 286.34/x
  3. Step 3: Cross multiply
    460.76x = 636.12 × 286.34
  4. Step 4: Simplify right side
    460.76x = 182,143.42
  5. Step 5: Solve for x
    x = 182,143.42/460.76
  6. Step 6: Final answer
    x = 395.32

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Find fourth proportional to 230.38, 318.06 and 143.17
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.