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Finding the Fourth Proportional to 214.70, 322.04 and 75.87

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Solution

The fourth proportional to 214.70, 322.04 and 75.87 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 322.04 = 75.87 : x
  2. Step 2: Convert to fraction form
    214.70/322.04 = 75.87/x
  3. Step 3: Cross multiply
    214.70x = 322.04 × 75.87
  4. Step 4: Simplify right side
    214.70x = 24,432.80
  5. Step 5: Solve for x
    x = 24,432.80/214.70
  6. Step 6: Final answer
    x = 113.80

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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.