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Finding the Fourth Proportional to 211.46, 291.86 and 124.14

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Solution

The fourth proportional to 211.46, 291.86 and 124.14 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 291.86 = 124.14 : x
  2. Step 2: Convert to fraction form
    211.46/291.86 = 124.14/x
  3. Step 3: Cross multiply
    211.46x = 291.86 × 124.14
  4. Step 4: Simplify right side
    211.46x = 36,231.50
  5. Step 5: Solve for x
    x = 36,231.50/211.46
  6. Step 6: Final answer
    x = 171.34

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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.