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Finding the Fourth Proportional to 159.23, 237.66 and 146.41

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Solution

The fourth proportional to 159.23, 237.66 and 146.41 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.23 : 237.66 = 146.41 : x
  2. Step 2: Convert to fraction form
    159.23/237.66 = 146.41/x
  3. Step 3: Cross multiply
    159.23x = 237.66 × 146.41
  4. Step 4: Simplify right side
    159.23x = 34,793.88
  5. Step 5: Solve for x
    x = 34,793.88/159.23
  6. Step 6: Final answer
    x = 218.51

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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.