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Finding the Fourth Proportional to 477.06, 715.08 and 168.72

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Solution

The fourth proportional to 477.06, 715.08 and 168.72 is: 252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 715.08 = 168.72 : x
  2. Step 2: Convert to fraction form
    477.06/715.08 = 168.72/x
  3. Step 3: Cross multiply
    477.06x = 715.08 × 168.72
  4. Step 4: Simplify right side
    477.06x = 120,648.30
  5. Step 5: Solve for x
    x = 120,648.30/477.06
  6. Step 6: Final answer
    x = 252.90

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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.