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Finding the Fourth Proportional to 211.98, 316.72 and 156.90

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Solution

The fourth proportional to 211.98, 316.72 and 156.90 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.98 : 316.72 = 156.90 : x
  2. Step 2: Convert to fraction form
    211.98/316.72 = 156.90/x
  3. Step 3: Cross multiply
    211.98x = 316.72 × 156.90
  4. Step 4: Simplify right side
    211.98x = 49,693.37
  5. Step 5: Solve for x
    x = 49,693.37/211.98
  6. Step 6: Final answer
    x = 234.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.