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Finding the Fourth Proportional to 213.74, 295.04 and 151.61

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Solution

The fourth proportional to 213.74, 295.04 and 151.61 is: 209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 295.04 = 151.61 : x
  2. Step 2: Convert to fraction form
    213.74/295.04 = 151.61/x
  3. Step 3: Cross multiply
    213.74x = 295.04 × 151.61
  4. Step 4: Simplify right side
    213.74x = 44,731.01
  5. Step 5: Solve for x
    x = 44,731.01/213.74
  6. Step 6: Final answer
    x = 209.28

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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.