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Finding the Fourth Proportional to 326.57, 488.04 and 265.77

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Solution

The fourth proportional to 326.57, 488.04 and 265.77 is: 397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 488.04 = 265.77 : x
  2. Step 2: Convert to fraction form
    326.57/488.04 = 265.77/x
  3. Step 3: Cross multiply
    326.57x = 488.04 × 265.77
  4. Step 4: Simplify right side
    326.57x = 129,706.39
  5. Step 5: Solve for x
    x = 129,706.39/326.57
  6. Step 6: Final answer
    x = 397.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.