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Finding the Fourth Proportional to 870.26, 1,305.40 and 253.97

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Solution

The fourth proportional to 870.26, 1,305.40 and 253.97 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.26 : 1,305.40 = 253.97 : x
  2. Step 2: Convert to fraction form
    870.26/1,305.40 = 253.97/x
  3. Step 3: Cross multiply
    870.26x = 1,305.40 × 253.97
  4. Step 4: Simplify right side
    870.26x = 331,530.65
  5. Step 5: Solve for x
    x = 331,530.65/870.26
  6. Step 6: Final answer
    x = 380.96

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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.