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Finding the Fourth Proportional to 240.26, 358.78 and 205.62

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Solution

The fourth proportional to 240.26, 358.78 and 205.62 is: 307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.26 : 358.78 = 205.62 : x
  2. Step 2: Convert to fraction form
    240.26/358.78 = 205.62/x
  3. Step 3: Cross multiply
    240.26x = 358.78 × 205.62
  4. Step 4: Simplify right side
    240.26x = 73,772.34
  5. Step 5: Solve for x
    x = 73,772.34/240.26
  6. Step 6: Final answer
    x = 307.05

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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.