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Finding the Fourth Proportional to 213.58, 294.46 and 154.65

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Solution

The fourth proportional to 213.58, 294.46 and 154.65 is: 213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 294.46 = 154.65 : x
  2. Step 2: Convert to fraction form
    213.58/294.46 = 154.65/x
  3. Step 3: Cross multiply
    213.58x = 294.46 × 154.65
  4. Step 4: Simplify right side
    213.58x = 45,538.24
  5. Step 5: Solve for x
    x = 45,538.24/213.58
  6. Step 6: Final answer
    x = 213.21

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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.