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Finding the Fourth Proportional to 460.16, 635.06 and 312.80

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Solution

The fourth proportional to 460.16, 635.06 and 312.80 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 635.06 = 312.80 : x
  2. Step 2: Convert to fraction form
    460.16/635.06 = 312.80/x
  3. Step 3: Cross multiply
    460.16x = 635.06 × 312.80
  4. Step 4: Simplify right side
    460.16x = 198,646.77
  5. Step 5: Solve for x
    x = 198,646.77/460.16
  6. Step 6: Final answer
    x = 431.69

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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.