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Finding the Fourth Proportional to 213.66, 294.78 and 130.74

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Solution

The fourth proportional to 213.66, 294.78 and 130.74 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 294.78 = 130.74 : x
  2. Step 2: Convert to fraction form
    213.66/294.78 = 130.74/x
  3. Step 3: Cross multiply
    213.66x = 294.78 × 130.74
  4. Step 4: Simplify right side
    213.66x = 38,539.54
  5. Step 5: Solve for x
    x = 38,539.54/213.66
  6. Step 6: Final answer
    x = 180.38

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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.