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Finding the Fourth Proportional to 561.72, 842.35 and 232.65

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Solution

The fourth proportional to 561.72, 842.35 and 232.65 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 842.35 = 232.65 : x
  2. Step 2: Convert to fraction form
    561.72/842.35 = 232.65/x
  3. Step 3: Cross multiply
    561.72x = 842.35 × 232.65
  4. Step 4: Simplify right side
    561.72x = 195,970.21
  5. Step 5: Solve for x
    x = 195,970.21/561.72
  6. Step 6: Final answer
    x = 348.88

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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.