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Finding the Fourth Proportional to 52.77, 78.85 and 49.84

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Solution

The fourth proportional to 52.77, 78.85 and 49.84 is: 74.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.77 : 78.85 = 49.84 : x
  2. Step 2: Convert to fraction form
    52.77/78.85 = 49.84/x
  3. Step 3: Cross multiply
    52.77x = 78.85 × 49.84
  4. Step 4: Simplify right side
    52.77x = 3,930.01
  5. Step 5: Solve for x
    x = 3,930.01/52.77
  6. Step 6: Final answer
    x = 74.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.