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Finding the Fourth Proportional to 147.18, 219.36 and 135.48

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Solution

The fourth proportional to 147.18, 219.36 and 135.48 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 219.36 = 135.48 : x
  2. Step 2: Convert to fraction form
    147.18/219.36 = 135.48/x
  3. Step 3: Cross multiply
    147.18x = 219.36 × 135.48
  4. Step 4: Simplify right side
    147.18x = 29,718.89
  5. Step 5: Solve for x
    x = 29,718.89/147.18
  6. Step 6: Final answer
    x = 201.92

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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.