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Finding the Fourth Proportional to 158.83, 237.93 and 77.43

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Solution

The fourth proportional to 158.83, 237.93 and 77.43 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.83 : 237.93 = 77.43 : x
  2. Step 2: Convert to fraction form
    158.83/237.93 = 77.43/x
  3. Step 3: Cross multiply
    158.83x = 237.93 × 77.43
  4. Step 4: Simplify right side
    158.83x = 18,422.92
  5. Step 5: Solve for x
    x = 18,422.92/158.83
  6. Step 6: Final answer
    x = 115.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.