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Finding the Fourth Proportional to 240.09, 358.61 and 213.21

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Solution

The fourth proportional to 240.09, 358.61 and 213.21 is: 318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.09 : 358.61 = 213.21 : x
  2. Step 2: Convert to fraction form
    240.09/358.61 = 213.21/x
  3. Step 3: Cross multiply
    240.09x = 358.61 × 213.21
  4. Step 4: Simplify right side
    240.09x = 76,459.77
  5. Step 5: Solve for x
    x = 76,459.77/240.09
  6. Step 6: Final answer
    x = 318.46

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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.