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Finding the Fourth Proportional to 866.83, 1,300.23 and 250.52

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Solution

The fourth proportional to 866.83, 1,300.23 and 250.52 is: 375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.83 : 1,300.23 = 250.52 : x
  2. Step 2: Convert to fraction form
    866.83/1,300.23 = 250.52/x
  3. Step 3: Cross multiply
    866.83x = 1,300.23 × 250.52
  4. Step 4: Simplify right side
    866.83x = 325,730.07
  5. Step 5: Solve for x
    x = 325,730.07/866.83
  6. Step 6: Final answer
    x = 375.77

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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.