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Finding the Fourth Proportional to 52.89, 78.99 and 42.77

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Solution

The fourth proportional to 52.89, 78.99 and 42.77 is: 63.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.89 : 78.99 = 42.77 : x
  2. Step 2: Convert to fraction form
    52.89/78.99 = 42.77/x
  3. Step 3: Cross multiply
    52.89x = 78.99 × 42.77
  4. Step 4: Simplify right side
    52.89x = 3,378.01
  5. Step 5: Solve for x
    x = 3,378.01/52.89
  6. Step 6: Final answer
    x = 63.87

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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.