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Finding the Fourth Proportional to 866.54, 1,300.02 and 250.28

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Solution

The fourth proportional to 866.54, 1,300.02 and 250.28 is: 375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.54 : 1,300.02 = 250.28 : x
  2. Step 2: Convert to fraction form
    866.54/1,300.02 = 250.28/x
  3. Step 3: Cross multiply
    866.54x = 1,300.02 × 250.28
  4. Step 4: Simplify right side
    866.54x = 325,369.01
  5. Step 5: Solve for x
    x = 325,369.01/866.54
  6. Step 6: Final answer
    x = 375.48

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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.