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Finding the Fourth Proportional to 205.16, 306.56 and 147.12

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Solution

The fourth proportional to 205.16, 306.56 and 147.12 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.16 : 306.56 = 147.12 : x
  2. Step 2: Convert to fraction form
    205.16/306.56 = 147.12/x
  3. Step 3: Cross multiply
    205.16x = 306.56 × 147.12
  4. Step 4: Simplify right side
    205.16x = 45,101.11
  5. Step 5: Solve for x
    x = 45,101.11/205.16
  6. Step 6: Final answer
    x = 219.83

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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.