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Finding the Fourth Proportional to 325.80, 486.32 and 282.77

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Solution

The fourth proportional to 325.80, 486.32 and 282.77 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.80 : 486.32 = 282.77 : x
  2. Step 2: Convert to fraction form
    325.80/486.32 = 282.77/x
  3. Step 3: Cross multiply
    325.80x = 486.32 × 282.77
  4. Step 4: Simplify right side
    325.80x = 137,512.86
  5. Step 5: Solve for x
    x = 137,512.86/325.80
  6. Step 6: Final answer
    x = 422.08

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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.