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Finding the Fourth Proportional to 122.34, 182.57 and 101.88

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Solution

The fourth proportional to 122.34, 182.57 and 101.88 is: 152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 182.57 = 101.88 : x
  2. Step 2: Convert to fraction form
    122.34/182.57 = 101.88/x
  3. Step 3: Cross multiply
    122.34x = 182.57 × 101.88
  4. Step 4: Simplify right side
    122.34x = 18,600.49
  5. Step 5: Solve for x
    x = 18,600.49/122.34
  6. Step 6: Final answer
    x = 152.04

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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.