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Finding the Fourth Proportional to 330.18, 455.56 and 288.66

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Solution

The fourth proportional to 330.18, 455.56 and 288.66 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.18 : 455.56 = 288.66 : x
  2. Step 2: Convert to fraction form
    330.18/455.56 = 288.66/x
  3. Step 3: Cross multiply
    330.18x = 455.56 × 288.66
  4. Step 4: Simplify right side
    330.18x = 131,502.94
  5. Step 5: Solve for x
    x = 131,502.94/330.18
  6. Step 6: Final answer
    x = 398.28

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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.