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Finding the Fourth Proportional to 147.43, 202.16 and 142.28

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Solution

The fourth proportional to 147.43, 202.16 and 142.28 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.43 : 202.16 = 142.28 : x
  2. Step 2: Convert to fraction form
    147.43/202.16 = 142.28/x
  3. Step 3: Cross multiply
    147.43x = 202.16 × 142.28
  4. Step 4: Simplify right side
    147.43x = 28,763.32
  5. Step 5: Solve for x
    x = 28,763.32/147.43
  6. Step 6: Final answer
    x = 195.10

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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.