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Finding the Fourth Proportional to 147.42, 203.20 and 141.35

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Solution

The fourth proportional to 147.42, 203.20 and 141.35 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 203.20 = 141.35 : x
  2. Step 2: Convert to fraction form
    147.42/203.20 = 141.35/x
  3. Step 3: Cross multiply
    147.42x = 203.20 × 141.35
  4. Step 4: Simplify right side
    147.42x = 28,720.95
  5. Step 5: Solve for x
    x = 28,720.95/147.42
  6. Step 6: Final answer
    x = 194.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.