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Finding the Fourth Proportional to 409.65, 565.18 and 232.60

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Solution

The fourth proportional to 409.65, 565.18 and 232.60 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 565.18 = 232.60 : x
  2. Step 2: Convert to fraction form
    409.65/565.18 = 232.60/x
  3. Step 3: Cross multiply
    409.65x = 565.18 × 232.60
  4. Step 4: Simplify right side
    409.65x = 131,460.87
  5. Step 5: Solve for x
    x = 131,460.87/409.65
  6. Step 6: Final answer
    x = 320.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.