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Finding the Fourth Proportional to 147.20, 219.24 and 146.54

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Solution

The fourth proportional to 147.20, 219.24 and 146.54 is: 218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.20 : 219.24 = 146.54 : x
  2. Step 2: Convert to fraction form
    147.20/219.24 = 146.54/x
  3. Step 3: Cross multiply
    147.20x = 219.24 × 146.54
  4. Step 4: Simplify right side
    147.20x = 32,127.43
  5. Step 5: Solve for x
    x = 32,127.43/147.20
  6. Step 6: Final answer
    x = 218.26

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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.