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Finding the Fourth Proportional to 214.72, 296.27 and 144.91

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Solution

The fourth proportional to 214.72, 296.27 and 144.91 is: 199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 296.27 = 144.91 : x
  2. Step 2: Convert to fraction form
    214.72/296.27 = 144.91/x
  3. Step 3: Cross multiply
    214.72x = 296.27 × 144.91
  4. Step 4: Simplify right side
    214.72x = 42,931.02
  5. Step 5: Solve for x
    x = 42,931.02/214.72
  6. Step 6: Final answer
    x = 199.94

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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.