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Finding the Fourth Proportional to 478.15, 658.95 and 330.52

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Solution

The fourth proportional to 478.15, 658.95 and 330.52 is: 455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 658.95 = 330.52 : x
  2. Step 2: Convert to fraction form
    478.15/658.95 = 330.52/x
  3. Step 3: Cross multiply
    478.15x = 658.95 × 330.52
  4. Step 4: Simplify right side
    478.15x = 217,796.15
  5. Step 5: Solve for x
    x = 217,796.15/478.15
  6. Step 6: Final answer
    x = 455.50

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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.