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Finding the Fourth Proportional to 218.71, 301.86 and 131.40

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Solution

The fourth proportional to 218.71, 301.86 and 131.40 is: 181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 301.86 = 131.40 : x
  2. Step 2: Convert to fraction form
    218.71/301.86 = 131.40/x
  3. Step 3: Cross multiply
    218.71x = 301.86 × 131.40
  4. Step 4: Simplify right side
    218.71x = 39,663.75
  5. Step 5: Solve for x
    x = 39,663.75/218.71
  6. Step 6: Final answer
    x = 181.35

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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.