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Finding the Fourth Proportional to 114.79, 171.75 and 76.36

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Solution

The fourth proportional to 114.79, 171.75 and 76.36 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.79 : 171.75 = 76.36 : x
  2. Step 2: Convert to fraction form
    114.79/171.75 = 76.36/x
  3. Step 3: Cross multiply
    114.79x = 171.75 × 76.36
  4. Step 4: Simplify right side
    114.79x = 13,114.45
  5. Step 5: Solve for x
    x = 13,114.45/114.79
  6. Step 6: Final answer
    x = 114.25

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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.