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Finding the Fourth Proportional to 214.71, 296.07 and 159.55

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Solution

The fourth proportional to 214.71, 296.07 and 159.55 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 296.07 = 159.55 : x
  2. Step 2: Convert to fraction form
    214.71/296.07 = 159.55/x
  3. Step 3: Cross multiply
    214.71x = 296.07 × 159.55
  4. Step 4: Simplify right side
    214.71x = 47,237.97
  5. Step 5: Solve for x
    x = 47,237.97/214.71
  6. Step 6: Final answer
    x = 220.01

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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.