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Finding the Fourth Proportional to 159.50, 237.90 and 140.46

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Solution

The fourth proportional to 159.50, 237.90 and 140.46 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 237.90 = 140.46 : x
  2. Step 2: Convert to fraction form
    159.50/237.90 = 140.46/x
  3. Step 3: Cross multiply
    159.50x = 237.90 × 140.46
  4. Step 4: Simplify right side
    159.50x = 33,415.43
  5. Step 5: Solve for x
    x = 33,415.43/159.50
  6. Step 6: Final answer
    x = 209.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.