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Finding the Fourth Proportional to 358.24, 537.12 and 187.36

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Solution

The fourth proportional to 358.24, 537.12 and 187.36 is: 280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 537.12 = 187.36 : x
  2. Step 2: Convert to fraction form
    358.24/537.12 = 187.36/x
  3. Step 3: Cross multiply
    358.24x = 537.12 × 187.36
  4. Step 4: Simplify right side
    358.24x = 100,634.80
  5. Step 5: Solve for x
    x = 100,634.80/358.24
  6. Step 6: Final answer
    x = 280.91

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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.