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Finding the Fourth Proportional to 214.18, 320.98 and 122.92

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Solution

The fourth proportional to 214.18, 320.98 and 122.92 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.18 : 320.98 = 122.92 : x
  2. Step 2: Convert to fraction form
    214.18/320.98 = 122.92/x
  3. Step 3: Cross multiply
    214.18x = 320.98 × 122.92
  4. Step 4: Simplify right side
    214.18x = 39,454.86
  5. Step 5: Solve for x
    x = 39,454.86/214.18
  6. Step 6: Final answer
    x = 184.21

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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.