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Finding the Fourth Proportional to 76.49, 114.77 and 49.36

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Solution

The fourth proportional to 76.49, 114.77 and 49.36 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.49 : 114.77 = 49.36 : x
  2. Step 2: Convert to fraction form
    76.49/114.77 = 49.36/x
  3. Step 3: Cross multiply
    76.49x = 114.77 × 49.36
  4. Step 4: Simplify right side
    76.49x = 5,664.82
  5. Step 5: Solve for x
    x = 5,664.82/76.49
  6. Step 6: Final answer
    x = 74.06

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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.