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Finding the Fourth Proportional to 409.32, 613.86 and 265.08

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Solution

The fourth proportional to 409.32, 613.86 and 265.08 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 613.86 = 265.08 : x
  2. Step 2: Convert to fraction form
    409.32/613.86 = 265.08/x
  3. Step 3: Cross multiply
    409.32x = 613.86 × 265.08
  4. Step 4: Simplify right side
    409.32x = 162,722.01
  5. Step 5: Solve for x
    x = 162,722.01/409.32
  6. Step 6: Final answer
    x = 397.54

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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.