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Finding the Fourth Proportional to 158.76, 237.84 and 90.42

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Solution

The fourth proportional to 158.76, 237.84 and 90.42 is: 135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.76 : 237.84 = 90.42 : x
  2. Step 2: Convert to fraction form
    158.76/237.84 = 90.42/x
  3. Step 3: Cross multiply
    158.76x = 237.84 × 90.42
  4. Step 4: Simplify right side
    158.76x = 21,504.26
  5. Step 5: Solve for x
    x = 21,504.26/158.76
  6. Step 6: Final answer
    x = 135.45

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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.