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Finding the Fourth Proportional to 158.04, 217.60 and 134.76

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Solution

The fourth proportional to 158.04, 217.60 and 134.76 is: 185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 217.60 = 134.76 : x
  2. Step 2: Convert to fraction form
    158.04/217.60 = 134.76/x
  3. Step 3: Cross multiply
    158.04x = 217.60 × 134.76
  4. Step 4: Simplify right side
    158.04x = 29,323.78
  5. Step 5: Solve for x
    x = 29,323.78/158.04
  6. Step 6: Final answer
    x = 185.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.