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Finding the Fourth Proportional to 329.82, 454.98 and 285.74

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Solution

The fourth proportional to 329.82, 454.98 and 285.74 is: 394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 454.98 = 285.74 : x
  2. Step 2: Convert to fraction form
    329.82/454.98 = 285.74/x
  3. Step 3: Cross multiply
    329.82x = 454.98 × 285.74
  4. Step 4: Simplify right side
    329.82x = 130,005.99
  5. Step 5: Solve for x
    x = 130,005.99/329.82
  6. Step 6: Final answer
    x = 394.17

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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.