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Finding the Fourth Proportional to 148.42, 204.85 and 85.40

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Solution

The fourth proportional to 148.42, 204.85 and 85.40 is: 117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.42 : 204.85 = 85.40 : x
  2. Step 2: Convert to fraction form
    148.42/204.85 = 85.40/x
  3. Step 3: Cross multiply
    148.42x = 204.85 × 85.40
  4. Step 4: Simplify right side
    148.42x = 17,495.31
  5. Step 5: Solve for x
    x = 17,495.31/148.42
  6. Step 6: Final answer
    x = 117.88

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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.