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Finding the Fourth Proportional to 320.13, 477.77 and 271.35

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Solution

The fourth proportional to 320.13, 477.77 and 271.35 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.13 : 477.77 = 271.35 : x
  2. Step 2: Convert to fraction form
    320.13/477.77 = 271.35/x
  3. Step 3: Cross multiply
    320.13x = 477.77 × 271.35
  4. Step 4: Simplify right side
    320.13x = 129,641.53
  5. Step 5: Solve for x
    x = 129,641.53/320.13
  6. Step 6: Final answer
    x = 404.97

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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.