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Finding the Fourth Proportional to 214.85, 296.31 and 144.90

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Solution

The fourth proportional to 214.85, 296.31 and 144.90 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.85 : 296.31 = 144.90 : x
  2. Step 2: Convert to fraction form
    214.85/296.31 = 144.90/x
  3. Step 3: Cross multiply
    214.85x = 296.31 × 144.90
  4. Step 4: Simplify right side
    214.85x = 42,935.86
  5. Step 5: Solve for x
    x = 42,935.86/214.85
  6. Step 6: Final answer
    x = 199.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.