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Finding the Fourth Proportional to 240.32, 330.32 and 212.54

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Solution

The fourth proportional to 240.32, 330.32 and 212.54 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.32 : 330.32 = 212.54 : x
  2. Step 2: Convert to fraction form
    240.32/330.32 = 212.54/x
  3. Step 3: Cross multiply
    240.32x = 330.32 × 212.54
  4. Step 4: Simplify right side
    240.32x = 70,206.21
  5. Step 5: Solve for x
    x = 70,206.21/240.32
  6. Step 6: Final answer
    x = 292.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.