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Finding the Fourth Proportional to 460.16, 688.80 and 338.24

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Solution

The fourth proportional to 460.16, 688.80 and 338.24 is: 506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 688.80 = 338.24 : x
  2. Step 2: Convert to fraction form
    460.16/688.80 = 338.24/x
  3. Step 3: Cross multiply
    460.16x = 688.80 × 338.24
  4. Step 4: Simplify right side
    460.16x = 232,979.71
  5. Step 5: Solve for x
    x = 232,979.71/460.16
  6. Step 6: Final answer
    x = 506.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.