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Finding the Fourth Proportional to 76.44, 114.59 and 46.06

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Solution

The fourth proportional to 76.44, 114.59 and 46.06 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 114.59 = 46.06 : x
  2. Step 2: Convert to fraction form
    76.44/114.59 = 46.06/x
  3. Step 3: Cross multiply
    76.44x = 114.59 × 46.06
  4. Step 4: Simplify right side
    76.44x = 5,278.02
  5. Step 5: Solve for x
    x = 5,278.02/76.44
  6. Step 6: Final answer
    x = 69.05

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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.