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Finding the Fourth Proportional to 337.72, 503.93 and 317.08

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Solution

The fourth proportional to 337.72, 503.93 and 317.08 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 503.93 = 317.08 : x
  2. Step 2: Convert to fraction form
    337.72/503.93 = 317.08/x
  3. Step 3: Cross multiply
    337.72x = 503.93 × 317.08
  4. Step 4: Simplify right side
    337.72x = 159,786.12
  5. Step 5: Solve for x
    x = 159,786.12/337.72
  6. Step 6: Final answer
    x = 473.13

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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.