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Finding the Fourth Proportional to 82.76, 114.24 and 53.69

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Solution

The fourth proportional to 82.76, 114.24 and 53.69 is: 74.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.76 : 114.24 = 53.69 : x
  2. Step 2: Convert to fraction form
    82.76/114.24 = 53.69/x
  3. Step 3: Cross multiply
    82.76x = 114.24 × 53.69
  4. Step 4: Simplify right side
    82.76x = 6,133.55
  5. Step 5: Solve for x
    x = 6,133.55/82.76
  6. Step 6: Final answer
    x = 74.11

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Find fourth proportional to 41.38, 57.12 and 26.85
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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.