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Finding the Fourth Proportional to 330.24, 455.49 and 286.50

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Solution

The fourth proportional to 330.24, 455.49 and 286.50 is: 395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.24 : 455.49 = 286.50 : x
  2. Step 2: Convert to fraction form
    330.24/455.49 = 286.50/x
  3. Step 3: Cross multiply
    330.24x = 455.49 × 286.50
  4. Step 4: Simplify right side
    330.24x = 130,497.89
  5. Step 5: Solve for x
    x = 130,497.89/330.24
  6. Step 6: Final answer
    x = 395.16

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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.