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Finding the Fourth Proportional to 76.34, 115.22 and 75.53

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Solution

The fourth proportional to 76.34, 115.22 and 75.53 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 115.22 = 75.53 : x
  2. Step 2: Convert to fraction form
    76.34/115.22 = 75.53/x
  3. Step 3: Cross multiply
    76.34x = 115.22 × 75.53
  4. Step 4: Simplify right side
    76.34x = 8,703.04
  5. Step 5: Solve for x
    x = 8,703.04/76.34
  6. Step 6: Final answer
    x = 114.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.