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Finding the Fourth Proportional to 214.03, 321.15 and 116.53

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Solution

The fourth proportional to 214.03, 321.15 and 116.53 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 321.15 = 116.53 : x
  2. Step 2: Convert to fraction form
    214.03/321.15 = 116.53/x
  3. Step 3: Cross multiply
    214.03x = 321.15 × 116.53
  4. Step 4: Simplify right side
    214.03x = 37,423.61
  5. Step 5: Solve for x
    x = 37,423.61/214.03
  6. Step 6: Final answer
    x = 174.85

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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.