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Finding the Fourth Proportional to 210.57, 315.95 and 114.38

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Solution

The fourth proportional to 210.57, 315.95 and 114.38 is: 171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 315.95 = 114.38 : x
  2. Step 2: Convert to fraction form
    210.57/315.95 = 114.38/x
  3. Step 3: Cross multiply
    210.57x = 315.95 × 114.38
  4. Step 4: Simplify right side
    210.57x = 36,136.21
  5. Step 5: Solve for x
    x = 36,136.21/210.57
  6. Step 6: Final answer
    x = 171.61

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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.