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Finding the Fourth Proportional to 374.33, 561.49 and 270.65

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Solution

The fourth proportional to 374.33, 561.49 and 270.65 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.33 : 561.49 = 270.65 : x
  2. Step 2: Convert to fraction form
    374.33/561.49 = 270.65/x
  3. Step 3: Cross multiply
    374.33x = 561.49 × 270.65
  4. Step 4: Simplify right side
    374.33x = 151,963.11
  5. Step 5: Solve for x
    x = 151,963.11/374.33
  6. Step 6: Final answer
    x = 405.97

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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.