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Finding the Fourth Proportional to 148.26, 204.69 and 117.30

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Solution

The fourth proportional to 148.26, 204.69 and 117.30 is: 161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 204.69 = 117.30 : x
  2. Step 2: Convert to fraction form
    148.26/204.69 = 117.30/x
  3. Step 3: Cross multiply
    148.26x = 204.69 × 117.30
  4. Step 4: Simplify right side
    148.26x = 24,010.14
  5. Step 5: Solve for x
    x = 24,010.14/148.26
  6. Step 6: Final answer
    x = 161.95

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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.