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Finding the Fourth Proportional to 159.52, 221.43 and 155.68

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Solution

The fourth proportional to 159.52, 221.43 and 155.68 is: 216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 221.43 = 155.68 : x
  2. Step 2: Convert to fraction form
    159.52/221.43 = 155.68/x
  3. Step 3: Cross multiply
    159.52x = 221.43 × 155.68
  4. Step 4: Simplify right side
    159.52x = 34,472.22
  5. Step 5: Solve for x
    x = 34,472.22/159.52
  6. Step 6: Final answer
    x = 216.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.