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Finding the Fourth Proportional to 147.45, 219.92 and 142.29

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Solution

The fourth proportional to 147.45, 219.92 and 142.29 is: 212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.45 : 219.92 = 142.29 : x
  2. Step 2: Convert to fraction form
    147.45/219.92 = 142.29/x
  3. Step 3: Cross multiply
    147.45x = 219.92 × 142.29
  4. Step 4: Simplify right side
    147.45x = 31,291.71
  5. Step 5: Solve for x
    x = 31,291.71/147.45
  6. Step 6: Final answer
    x = 212.22

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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.