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Finding the Fourth Proportional to 337.83, 505.47 and 319.31

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Solution

The fourth proportional to 337.83, 505.47 and 319.31 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.83 : 505.47 = 319.31 : x
  2. Step 2: Convert to fraction form
    337.83/505.47 = 319.31/x
  3. Step 3: Cross multiply
    337.83x = 505.47 × 319.31
  4. Step 4: Simplify right side
    337.83x = 161,399.10
  5. Step 5: Solve for x
    x = 161,399.10/337.83
  6. Step 6: Final answer
    x = 477.75

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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.