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Finding the Fourth Proportional to 214.77, 296.38 and 116.52

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Solution

The fourth proportional to 214.77, 296.38 and 116.52 is: 160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.77 : 296.38 = 116.52 : x
  2. Step 2: Convert to fraction form
    214.77/296.38 = 116.52/x
  3. Step 3: Cross multiply
    214.77x = 296.38 × 116.52
  4. Step 4: Simplify right side
    214.77x = 34,533.62
  5. Step 5: Solve for x
    x = 34,533.62/214.77
  6. Step 6: Final answer
    x = 160.80

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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.