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Finding the Fourth Proportional to 114.63, 171.66 and 60.54

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Solution

The fourth proportional to 114.63, 171.66 and 60.54 is: 90.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.63 : 171.66 = 60.54 : x
  2. Step 2: Convert to fraction form
    114.63/171.66 = 60.54/x
  3. Step 3: Cross multiply
    114.63x = 171.66 × 60.54
  4. Step 4: Simplify right side
    114.63x = 10,392.30
  5. Step 5: Solve for x
    x = 10,392.30/114.63
  6. Step 6: Final answer
    x = 90.66

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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.