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Finding the Fourth Proportional to 218.56, 301.65 and 125.32

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Solution

The fourth proportional to 218.56, 301.65 and 125.32 is: 172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.56 : 301.65 = 125.32 : x
  2. Step 2: Convert to fraction form
    218.56/301.65 = 125.32/x
  3. Step 3: Cross multiply
    218.56x = 301.65 × 125.32
  4. Step 4: Simplify right side
    218.56x = 37,802.78
  5. Step 5: Solve for x
    x = 37,802.78/218.56
  6. Step 6: Final answer
    x = 172.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.