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Finding the Fourth Proportional to 150.53, 206.48 and 147.29

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Solution

The fourth proportional to 150.53, 206.48 and 147.29 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.53 : 206.48 = 147.29 : x
  2. Step 2: Convert to fraction form
    150.53/206.48 = 147.29/x
  3. Step 3: Cross multiply
    150.53x = 206.48 × 147.29
  4. Step 4: Simplify right side
    150.53x = 30,411.78
  5. Step 5: Solve for x
    x = 30,411.78/150.53
  6. Step 6: Final answer
    x = 202.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.