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Finding the Fourth Proportional to 159.57, 240.71 and 156.87

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Solution

The fourth proportional to 159.57, 240.71 and 156.87 is: 236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 240.71 = 156.87 : x
  2. Step 2: Convert to fraction form
    159.57/240.71 = 156.87/x
  3. Step 3: Cross multiply
    159.57x = 240.71 × 156.87
  4. Step 4: Simplify right side
    159.57x = 37,759.39
  5. Step 5: Solve for x
    x = 37,759.39/159.57
  6. Step 6: Final answer
    x = 236.63

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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.