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Finding the Fourth Proportional to 320.38, 476.73 and 319.30

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Solution

The fourth proportional to 320.38, 476.73 and 319.30 is: 475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 476.73 = 319.30 : x
  2. Step 2: Convert to fraction form
    320.38/476.73 = 319.30/x
  3. Step 3: Cross multiply
    320.38x = 476.73 × 319.30
  4. Step 4: Simplify right side
    320.38x = 152,218.29
  5. Step 5: Solve for x
    x = 152,218.29/320.38
  6. Step 6: Final answer
    x = 475.12

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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.