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Finding the Fourth Proportional to 159.40, 237.94 and 148.14

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Solution

The fourth proportional to 159.40, 237.94 and 148.14 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.40 : 237.94 = 148.14 : x
  2. Step 2: Convert to fraction form
    159.40/237.94 = 148.14/x
  3. Step 3: Cross multiply
    159.40x = 237.94 × 148.14
  4. Step 4: Simplify right side
    159.40x = 35,248.43
  5. Step 5: Solve for x
    x = 35,248.43/159.40
  6. Step 6: Final answer
    x = 221.13

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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.