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Finding the Fourth Proportional to 114.64, 171.70 and 71.80

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Solution

The fourth proportional to 114.64, 171.70 and 71.80 is: 107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 171.70 = 71.80 : x
  2. Step 2: Convert to fraction form
    114.64/171.70 = 71.80/x
  3. Step 3: Cross multiply
    114.64x = 171.70 × 71.80
  4. Step 4: Simplify right side
    114.64x = 12,328.06
  5. Step 5: Solve for x
    x = 12,328.06/114.64
  6. Step 6: Final answer
    x = 107.54

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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.