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Finding the Fourth Proportional to 213.58, 294.70 and 130.70

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Solution

The fourth proportional to 213.58, 294.70 and 130.70 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 294.70 = 130.70 : x
  2. Step 2: Convert to fraction form
    213.58/294.70 = 130.70/x
  3. Step 3: Cross multiply
    213.58x = 294.70 × 130.70
  4. Step 4: Simplify right side
    213.58x = 38,517.29
  5. Step 5: Solve for x
    x = 38,517.29/213.58
  6. Step 6: Final answer
    x = 180.34

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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.