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Finding the Fourth Proportional to 211.17, 315.83 and 124.29

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Solution

The fourth proportional to 211.17, 315.83 and 124.29 is: 185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.17 : 315.83 = 124.29 : x
  2. Step 2: Convert to fraction form
    211.17/315.83 = 124.29/x
  3. Step 3: Cross multiply
    211.17x = 315.83 × 124.29
  4. Step 4: Simplify right side
    211.17x = 39,253.89
  5. Step 5: Solve for x
    x = 39,253.89/211.17
  6. Step 6: Final answer
    x = 185.89

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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.