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Finding the Fourth Proportional to 866.62, 1,300.12 and 250.33

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Solution

The fourth proportional to 866.62, 1,300.12 and 250.33 is: 375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.62 : 1,300.12 = 250.33 : x
  2. Step 2: Convert to fraction form
    866.62/1,300.12 = 250.33/x
  3. Step 3: Cross multiply
    866.62x = 1,300.12 × 250.33
  4. Step 4: Simplify right side
    866.62x = 325,459.04
  5. Step 5: Solve for x
    x = 325,459.04/866.62
  6. Step 6: Final answer
    x = 375.55

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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.