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Finding the Fourth Proportional to 76.10, 114.24 and 56.96

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Solution

The fourth proportional to 76.10, 114.24 and 56.96 is: 85.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 114.24 = 56.96 : x
  2. Step 2: Convert to fraction form
    76.10/114.24 = 56.96/x
  3. Step 3: Cross multiply
    76.10x = 114.24 × 56.96
  4. Step 4: Simplify right side
    76.10x = 6,507.11
  5. Step 5: Solve for x
    x = 6,507.11/76.10
  6. Step 6: Final answer
    x = 85.51

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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.