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Finding the Fourth Proportional to 471.52, 707.41 and 146.91

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Solution

The fourth proportional to 471.52, 707.41 and 146.91 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.52 : 707.41 = 146.91 : x
  2. Step 2: Convert to fraction form
    471.52/707.41 = 146.91/x
  3. Step 3: Cross multiply
    471.52x = 707.41 × 146.91
  4. Step 4: Simplify right side
    471.52x = 103,925.60
  5. Step 5: Solve for x
    x = 103,925.60/471.52
  6. Step 6: Final answer
    x = 220.41

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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.