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Finding the Fourth Proportional to 866.93, 1,300.38 and 217.65

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Solution

The fourth proportional to 866.93, 1,300.38 and 217.65 is: 326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.93 : 1,300.38 = 217.65 : x
  2. Step 2: Convert to fraction form
    866.93/1,300.38 = 217.65/x
  3. Step 3: Cross multiply
    866.93x = 1,300.38 × 217.65
  4. Step 4: Simplify right side
    866.93x = 283,031.77
  5. Step 5: Solve for x
    x = 283,031.77/866.93
  6. Step 6: Final answer
    x = 326.48

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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.