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Finding the Fourth Proportional to 214.61, 296.07 and 144.72

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Solution

The fourth proportional to 214.61, 296.07 and 144.72 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 296.07 = 144.72 : x
  2. Step 2: Convert to fraction form
    214.61/296.07 = 144.72/x
  3. Step 3: Cross multiply
    214.61x = 296.07 × 144.72
  4. Step 4: Simplify right side
    214.61x = 42,845.77
  5. Step 5: Solve for x
    x = 42,845.77/214.61
  6. Step 6: Final answer
    x = 199.64

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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.