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Finding the Fourth Proportional to 358.80, 538.68 and 243.78

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Solution

The fourth proportional to 358.80, 538.68 and 243.78 is: 366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 538.68 = 243.78 : x
  2. Step 2: Convert to fraction form
    358.80/538.68 = 243.78/x
  3. Step 3: Cross multiply
    358.80x = 538.68 × 243.78
  4. Step 4: Simplify right side
    358.80x = 131,319.41
  5. Step 5: Solve for x
    x = 131,319.41/358.80
  6. Step 6: Final answer
    x = 366.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.