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Finding the Fourth Proportional to 240.18, 358.64 and 212.92

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Solution

The fourth proportional to 240.18, 358.64 and 212.92 is: 317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.18 : 358.64 = 212.92 : x
  2. Step 2: Convert to fraction form
    240.18/358.64 = 212.92/x
  3. Step 3: Cross multiply
    240.18x = 358.64 × 212.92
  4. Step 4: Simplify right side
    240.18x = 76,361.63
  5. Step 5: Solve for x
    x = 76,361.63/240.18
  6. Step 6: Final answer
    x = 317.94

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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.