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Finding the Fourth Proportional to 211.28, 316.34 and 177.22

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Solution

The fourth proportional to 211.28, 316.34 and 177.22 is: 265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.28 : 316.34 = 177.22 : x
  2. Step 2: Convert to fraction form
    211.28/316.34 = 177.22/x
  3. Step 3: Cross multiply
    211.28x = 316.34 × 177.22
  4. Step 4: Simplify right side
    211.28x = 56,061.95
  5. Step 5: Solve for x
    x = 56,061.95/211.28
  6. Step 6: Final answer
    x = 265.35

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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.