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Finding the Fourth Proportional to 395.72, 590.42 and 337.29

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Solution

The fourth proportional to 395.72, 590.42 and 337.29 is: 503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 590.42 = 337.29 : x
  2. Step 2: Convert to fraction form
    395.72/590.42 = 337.29/x
  3. Step 3: Cross multiply
    395.72x = 590.42 × 337.29
  4. Step 4: Simplify right side
    395.72x = 199,139.81
  5. Step 5: Solve for x
    x = 199,139.81/395.72
  6. Step 6: Final answer
    x = 503.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.