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Finding the Fourth Proportional to 240.24, 358.66 and 212.96

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Solution

The fourth proportional to 240.24, 358.66 and 212.96 is: 317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 358.66 = 212.96 : x
  2. Step 2: Convert to fraction form
    240.24/358.66 = 212.96/x
  3. Step 3: Cross multiply
    240.24x = 358.66 × 212.96
  4. Step 4: Simplify right side
    240.24x = 76,380.23
  5. Step 5: Solve for x
    x = 76,380.23/240.24
  6. Step 6: Final answer
    x = 317.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.