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Finding the Fourth Proportional to 147.35, 219.93 and 135.17

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Solution

The fourth proportional to 147.35, 219.93 and 135.17 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.35 : 219.93 = 135.17 : x
  2. Step 2: Convert to fraction form
    147.35/219.93 = 135.17/x
  3. Step 3: Cross multiply
    147.35x = 219.93 × 135.17
  4. Step 4: Simplify right side
    147.35x = 29,726.84
  5. Step 5: Solve for x
    x = 29,726.84/147.35
  6. Step 6: Final answer
    x = 201.75

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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.