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Finding the Fourth Proportional to 159.30, 239.76 and 139.50

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Solution

The fourth proportional to 159.30, 239.76 and 139.50 is: 209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 239.76 = 139.50 : x
  2. Step 2: Convert to fraction form
    159.30/239.76 = 139.50/x
  3. Step 3: Cross multiply
    159.30x = 239.76 × 139.50
  4. Step 4: Simplify right side
    159.30x = 33,446.52
  5. Step 5: Solve for x
    x = 33,446.52/159.30
  6. Step 6: Final answer
    x = 209.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.