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Finding the Fourth Proportional to 325.98, 450 and 284.58

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Solution

The fourth proportional to 325.98, 450 and 284.58 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 450 = 284.58 : x
  2. Step 2: Convert to fraction form
    325.98/450 = 284.58/x
  3. Step 3: Cross multiply
    325.98x = 450 × 284.58
  4. Step 4: Simplify right side
    325.98x = 128,061
  5. Step 5: Solve for x
    x = 128,061/325.98
  6. Step 6: Final answer
    x = 392.85

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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.