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Finding the Fourth Proportional to 147.18, 219.40 and 135.56

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Solution

The fourth proportional to 147.18, 219.40 and 135.56 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 219.40 = 135.56 : x
  2. Step 2: Convert to fraction form
    147.18/219.40 = 135.56/x
  3. Step 3: Cross multiply
    147.18x = 219.40 × 135.56
  4. Step 4: Simplify right side
    147.18x = 29,741.86
  5. Step 5: Solve for x
    x = 29,741.86/147.18
  6. Step 6: Final answer
    x = 202.08

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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.