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Finding the Fourth Proportional to 330.04, 455.02 and 288.76

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Solution

The fourth proportional to 330.04, 455.02 and 288.76 is: 398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.04 : 455.02 = 288.76 : x
  2. Step 2: Convert to fraction form
    330.04/455.02 = 288.76/x
  3. Step 3: Cross multiply
    330.04x = 455.02 × 288.76
  4. Step 4: Simplify right side
    330.04x = 131,391.58
  5. Step 5: Solve for x
    x = 131,391.58/330.04
  6. Step 6: Final answer
    x = 398.11

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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.