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Finding the Fourth Proportional to 402.29, 554.96 and 313.61

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Solution

The fourth proportional to 402.29, 554.96 and 313.61 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.29 : 554.96 = 313.61 : x
  2. Step 2: Convert to fraction form
    402.29/554.96 = 313.61/x
  3. Step 3: Cross multiply
    402.29x = 554.96 × 313.61
  4. Step 4: Simplify right side
    402.29x = 174,036.66
  5. Step 5: Solve for x
    x = 174,036.66/402.29
  6. Step 6: Final answer
    x = 432.62

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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.