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Finding the Fourth Proportional to 185.53, 278.22 and 147.10

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Solution

The fourth proportional to 185.53, 278.22 and 147.10 is: 220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.53 : 278.22 = 147.10 : x
  2. Step 2: Convert to fraction form
    185.53/278.22 = 147.10/x
  3. Step 3: Cross multiply
    185.53x = 278.22 × 147.10
  4. Step 4: Simplify right side
    185.53x = 40,926.16
  5. Step 5: Solve for x
    x = 40,926.16/185.53
  6. Step 6: Final answer
    x = 220.59

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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.