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Finding the Fourth Proportional to 356.65, 535.04 and 137.38

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Solution

The fourth proportional to 356.65, 535.04 and 137.38 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.65 : 535.04 = 137.38 : x
  2. Step 2: Convert to fraction form
    356.65/535.04 = 137.38/x
  3. Step 3: Cross multiply
    356.65x = 535.04 × 137.38
  4. Step 4: Simplify right side
    356.65x = 73,503.29
  5. Step 5: Solve for x
    x = 73,503.29/356.65
  6. Step 6: Final answer
    x = 206.09

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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.