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Finding the Fourth Proportional to 52.53, 78.51 and 42.80

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Solution

The fourth proportional to 52.53, 78.51 and 42.80 is: 63.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.53 : 78.51 = 42.80 : x
  2. Step 2: Convert to fraction form
    52.53/78.51 = 42.80/x
  3. Step 3: Cross multiply
    52.53x = 78.51 × 42.80
  4. Step 4: Simplify right side
    52.53x = 3,359.84
  5. Step 5: Solve for x
    x = 3,359.84/52.53
  6. Step 6: Final answer
    x = 63.96

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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.