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Finding the Fourth Proportional to 214.20, 320.80 and 177.72

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Solution

The fourth proportional to 214.20, 320.80 and 177.72 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 320.80 = 177.72 : x
  2. Step 2: Convert to fraction form
    214.20/320.80 = 177.72/x
  3. Step 3: Cross multiply
    214.20x = 320.80 × 177.72
  4. Step 4: Simplify right side
    214.20x = 57,012.58
  5. Step 5: Solve for x
    x = 57,012.58/214.20
  6. Step 6: Final answer
    x = 266.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.