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Finding the Fourth Proportional to 870.88, 1,306.38 and 293.80

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Solution

The fourth proportional to 870.88, 1,306.38 and 293.80 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.88 : 1,306.38 = 293.80 : x
  2. Step 2: Convert to fraction form
    870.88/1,306.38 = 293.80/x
  3. Step 3: Cross multiply
    870.88x = 1,306.38 × 293.80
  4. Step 4: Simplify right side
    870.88x = 383,814.44
  5. Step 5: Solve for x
    x = 383,814.44/870.88
  6. Step 6: Final answer
    x = 440.72

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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.