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Finding the Fourth Proportional to 478.23, 660.18 and 320.95

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Solution

The fourth proportional to 478.23, 660.18 and 320.95 is: 443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 660.18 = 320.95 : x
  2. Step 2: Convert to fraction form
    478.23/660.18 = 320.95/x
  3. Step 3: Cross multiply
    478.23x = 660.18 × 320.95
  4. Step 4: Simplify right side
    478.23x = 211,884.77
  5. Step 5: Solve for x
    x = 211,884.77/478.23
  6. Step 6: Final answer
    x = 443.06

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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.