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Finding the Fourth Proportional to 113.16, 169.77 and 77

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Solution

The fourth proportional to 113.16, 169.77 and 77 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 169.77 = 77 : x
  2. Step 2: Convert to fraction form
    113.16/169.77 = 77/x
  3. Step 3: Cross multiply
    113.16x = 169.77 × 77
  4. Step 4: Simplify right side
    113.16x = 13,072.29
  5. Step 5: Solve for x
    x = 13,072.29/113.16
  6. Step 6: Final answer
    x = 115.52

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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.