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Finding the Fourth Proportional to 869.38, 1,303.86 and 252.94

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Solution

The fourth proportional to 869.38, 1,303.86 and 252.94 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.38 : 1,303.86 = 252.94 : x
  2. Step 2: Convert to fraction form
    869.38/1,303.86 = 252.94/x
  3. Step 3: Cross multiply
    869.38x = 1,303.86 × 252.94
  4. Step 4: Simplify right side
    869.38x = 329,798.35
  5. Step 5: Solve for x
    x = 329,798.35/869.38
  6. Step 6: Final answer
    x = 379.35

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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.