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Finding the Fourth Proportional to 116.56, 174.75 and 43.42

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Solution

The fourth proportional to 116.56, 174.75 and 43.42 is: 65.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 174.75 = 43.42 : x
  2. Step 2: Convert to fraction form
    116.56/174.75 = 43.42/x
  3. Step 3: Cross multiply
    116.56x = 174.75 × 43.42
  4. Step 4: Simplify right side
    116.56x = 7,587.65
  5. Step 5: Solve for x
    x = 7,587.65/116.56
  6. Step 6: Final answer
    x = 65.10

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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.