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Finding the Fourth Proportional to 147.35, 219.73 and 135.53

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Solution

The fourth proportional to 147.35, 219.73 and 135.53 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.35 : 219.73 = 135.53 : x
  2. Step 2: Convert to fraction form
    147.35/219.73 = 135.53/x
  3. Step 3: Cross multiply
    147.35x = 219.73 × 135.53
  4. Step 4: Simplify right side
    147.35x = 29,780.01
  5. Step 5: Solve for x
    x = 29,780.01/147.35
  6. Step 6: Final answer
    x = 202.10

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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.