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Finding the Fourth Proportional to 52.76, 79.48 and 40.82

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Solution

The fourth proportional to 52.76, 79.48 and 40.82 is: 61.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.76 : 79.48 = 40.82 : x
  2. Step 2: Convert to fraction form
    52.76/79.48 = 40.82/x
  3. Step 3: Cross multiply
    52.76x = 79.48 × 40.82
  4. Step 4: Simplify right side
    52.76x = 3,244.17
  5. Step 5: Solve for x
    x = 3,244.17/52.76
  6. Step 6: Final answer
    x = 61.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.