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Finding the Fourth Proportional to 77, 114.66 and 75.40

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Solution

The fourth proportional to 77, 114.66 and 75.40 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 114.66 = 75.40 : x
  2. Step 2: Convert to fraction form
    77/114.66 = 75.40/x
  3. Step 3: Cross multiply
    77x = 114.66 × 75.40
  4. Step 4: Simplify right side
    77x = 8,645.36
  5. Step 5: Solve for x
    x = 8,645.36/77
  6. Step 6: Final answer
    x = 112.28

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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.