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Finding the Fourth Proportional to 159.15, 237.38 and 144.57

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Solution

The fourth proportional to 159.15, 237.38 and 144.57 is: 215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.15 : 237.38 = 144.57 : x
  2. Step 2: Convert to fraction form
    159.15/237.38 = 144.57/x
  3. Step 3: Cross multiply
    159.15x = 237.38 × 144.57
  4. Step 4: Simplify right side
    159.15x = 34,317.30
  5. Step 5: Solve for x
    x = 34,317.30/159.15
  6. Step 6: Final answer
    x = 215.63

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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.