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Finding the Fourth Proportional to 147.08, 204.24 and 145.87

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Solution

The fourth proportional to 147.08, 204.24 and 145.87 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 204.24 = 145.87 : x
  2. Step 2: Convert to fraction form
    147.08/204.24 = 145.87/x
  3. Step 3: Cross multiply
    147.08x = 204.24 × 145.87
  4. Step 4: Simplify right side
    147.08x = 29,791.70
  5. Step 5: Solve for x
    x = 29,791.70/147.08
  6. Step 6: Final answer
    x = 202.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.