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Finding the Fourth Proportional to 460.90, 636.25 and 295.34

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Solution

The fourth proportional to 460.90, 636.25 and 295.34 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 636.25 = 295.34 : x
  2. Step 2: Convert to fraction form
    460.90/636.25 = 295.34/x
  3. Step 3: Cross multiply
    460.90x = 636.25 × 295.34
  4. Step 4: Simplify right side
    460.90x = 187,910.08
  5. Step 5: Solve for x
    x = 187,910.08/460.90
  6. Step 6: Final answer
    x = 407.70

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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.