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Finding the Fourth Proportional to 420.31, 630.13 and 176.55

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Solution

The fourth proportional to 420.31, 630.13 and 176.55 is: 264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.31 : 630.13 = 176.55 : x
  2. Step 2: Convert to fraction form
    420.31/630.13 = 176.55/x
  3. Step 3: Cross multiply
    420.31x = 630.13 × 176.55
  4. Step 4: Simplify right side
    420.31x = 111,252.29
  5. Step 5: Solve for x
    x = 111,252.29/420.31
  6. Step 6: Final answer
    x = 264.69

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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.