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Finding the Fourth Proportional to 214.49, 321.67 and 77.50

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Solution

The fourth proportional to 214.49, 321.67 and 77.50 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 321.67 = 77.50 : x
  2. Step 2: Convert to fraction form
    214.49/321.67 = 77.50/x
  3. Step 3: Cross multiply
    214.49x = 321.67 × 77.50
  4. Step 4: Simplify right side
    214.49x = 24,929.92
  5. Step 5: Solve for x
    x = 24,929.92/214.49
  6. Step 6: Final answer
    x = 116.23

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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.