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Finding the Fourth Proportional to 477.88, 717.08 and 221.38

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Solution

The fourth proportional to 477.88, 717.08 and 221.38 is: 332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.88 : 717.08 = 221.38 : x
  2. Step 2: Convert to fraction form
    477.88/717.08 = 221.38/x
  3. Step 3: Cross multiply
    477.88x = 717.08 × 221.38
  4. Step 4: Simplify right side
    477.88x = 158,747.17
  5. Step 5: Solve for x
    x = 158,747.17/477.88
  6. Step 6: Final answer
    x = 332.19

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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.