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Finding the Fourth Proportional to 159.76, 237.77 and 158.80

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Solution

The fourth proportional to 159.76, 237.77 and 158.80 is: 236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 237.77 = 158.80 : x
  2. Step 2: Convert to fraction form
    159.76/237.77 = 158.80/x
  3. Step 3: Cross multiply
    159.76x = 237.77 × 158.80
  4. Step 4: Simplify right side
    159.76x = 37,757.88
  5. Step 5: Solve for x
    x = 37,757.88/159.76
  6. Step 6: Final answer
    x = 236.34

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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.