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Finding the Fourth Proportional to 474.29, 711.47 and 145.22

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Solution

The fourth proportional to 474.29, 711.47 and 145.22 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.29 : 711.47 = 145.22 : x
  2. Step 2: Convert to fraction form
    474.29/711.47 = 145.22/x
  3. Step 3: Cross multiply
    474.29x = 711.47 × 145.22
  4. Step 4: Simplify right side
    474.29x = 103,321.82
  5. Step 5: Solve for x
    x = 103,321.82/474.29
  6. Step 6: Final answer
    x = 217.85

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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.