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Finding the Fourth Proportional to 76.51, 113.85 and 74.35

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Solution

The fourth proportional to 76.51, 113.85 and 74.35 is: 110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 113.85 = 74.35 : x
  2. Step 2: Convert to fraction form
    76.51/113.85 = 74.35/x
  3. Step 3: Cross multiply
    76.51x = 113.85 × 74.35
  4. Step 4: Simplify right side
    76.51x = 8,464.75
  5. Step 5: Solve for x
    x = 8,464.75/76.51
  6. Step 6: Final answer
    x = 110.64

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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.