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Finding the Fourth Proportional to 85.97, 118.61 and 52.77

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Solution

The fourth proportional to 85.97, 118.61 and 52.77 is: 72.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.97 : 118.61 = 52.77 : x
  2. Step 2: Convert to fraction form
    85.97/118.61 = 52.77/x
  3. Step 3: Cross multiply
    85.97x = 118.61 × 52.77
  4. Step 4: Simplify right side
    85.97x = 6,258.34
  5. Step 5: Solve for x
    x = 6,258.34/85.97
  6. Step 6: Final answer
    x = 72.79

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Find fourth proportional to 42.99, 59.30 and 26.38
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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.