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Finding the Fourth Proportional to 325.38, 486.32 and 283.92

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Solution

The fourth proportional to 325.38, 486.32 and 283.92 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 486.32 = 283.92 : x
  2. Step 2: Convert to fraction form
    325.38/486.32 = 283.92/x
  3. Step 3: Cross multiply
    325.38x = 486.32 × 283.92
  4. Step 4: Simplify right side
    325.38x = 138,075.97
  5. Step 5: Solve for x
    x = 138,075.97/325.38
  6. Step 6: Final answer
    x = 424.35

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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.