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Finding the Fourth Proportional to 77.29, 115.93 and 53.19

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Solution

The fourth proportional to 77.29, 115.93 and 53.19 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.29 : 115.93 = 53.19 : x
  2. Step 2: Convert to fraction form
    77.29/115.93 = 53.19/x
  3. Step 3: Cross multiply
    77.29x = 115.93 × 53.19
  4. Step 4: Simplify right side
    77.29x = 6,166.32
  5. Step 5: Solve for x
    x = 6,166.32/77.29
  6. Step 6: Final answer
    x = 79.78

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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.