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Finding the Fourth Proportional to 52.28, 78.40 and 19.77

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Solution

The fourth proportional to 52.28, 78.40 and 19.77 is: 29.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.28 : 78.40 = 19.77 : x
  2. Step 2: Convert to fraction form
    52.28/78.40 = 19.77/x
  3. Step 3: Cross multiply
    52.28x = 78.40 × 19.77
  4. Step 4: Simplify right side
    52.28x = 1,549.97
  5. Step 5: Solve for x
    x = 1,549.97/52.28
  6. Step 6: Final answer
    x = 29.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.