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Finding the Fourth Proportional to 358.20, 535.88 and 288.23

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Solution

The fourth proportional to 358.20, 535.88 and 288.23 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.20 : 535.88 = 288.23 : x
  2. Step 2: Convert to fraction form
    358.20/535.88 = 288.23/x
  3. Step 3: Cross multiply
    358.20x = 535.88 × 288.23
  4. Step 4: Simplify right side
    358.20x = 154,454.73
  5. Step 5: Solve for x
    x = 154,454.73/358.20
  6. Step 6: Final answer
    x = 431.20

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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.