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Finding the Fourth Proportional to 213.92, 322.12 and 156.54

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Solution

The fourth proportional to 213.92, 322.12 and 156.54 is: 235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 322.12 = 156.54 : x
  2. Step 2: Convert to fraction form
    213.92/322.12 = 156.54/x
  3. Step 3: Cross multiply
    213.92x = 322.12 × 156.54
  4. Step 4: Simplify right side
    213.92x = 50,424.66
  5. Step 5: Solve for x
    x = 50,424.66/213.92
  6. Step 6: Final answer
    x = 235.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.