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Finding the Fourth Proportional to 731.67, 1,097.55 and 218.67

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Solution

The fourth proportional to 731.67, 1,097.55 and 218.67 is: 328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.67 : 1,097.55 = 218.67 : x
  2. Step 2: Convert to fraction form
    731.67/1,097.55 = 218.67/x
  3. Step 3: Cross multiply
    731.67x = 1,097.55 × 218.67
  4. Step 4: Simplify right side
    731.67x = 240,001.26
  5. Step 5: Solve for x
    x = 240,001.26/731.67
  6. Step 6: Final answer
    x = 328.02

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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.