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Finding the Fourth Proportional to 147.04, 219.05 and 138.76

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Solution

The fourth proportional to 147.04, 219.05 and 138.76 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 219.05 = 138.76 : x
  2. Step 2: Convert to fraction form
    147.04/219.05 = 138.76/x
  3. Step 3: Cross multiply
    147.04x = 219.05 × 138.76
  4. Step 4: Simplify right side
    147.04x = 30,395.38
  5. Step 5: Solve for x
    x = 30,395.38/147.04
  6. Step 6: Final answer
    x = 206.72

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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.