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Finding the Fourth Proportional to 356.59, 535.65 and 226.91

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Solution

The fourth proportional to 356.59, 535.65 and 226.91 is: 340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.59 : 535.65 = 226.91 : x
  2. Step 2: Convert to fraction form
    356.59/535.65 = 226.91/x
  3. Step 3: Cross multiply
    356.59x = 535.65 × 226.91
  4. Step 4: Simplify right side
    356.59x = 121,545.24
  5. Step 5: Solve for x
    x = 121,545.24/356.59
  6. Step 6: Final answer
    x = 340.85

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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.