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Finding the Fourth Proportional to 148.35, 204.65 and 117.17

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Solution

The fourth proportional to 148.35, 204.65 and 117.17 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 204.65 = 117.17 : x
  2. Step 2: Convert to fraction form
    148.35/204.65 = 117.17/x
  3. Step 3: Cross multiply
    148.35x = 204.65 × 117.17
  4. Step 4: Simplify right side
    148.35x = 23,977.23
  5. Step 5: Solve for x
    x = 23,977.23/148.35
  6. Step 6: Final answer
    x = 161.63

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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.