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Finding the Fourth Proportional to 478.42, 660.54 and 331.36

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Solution

The fourth proportional to 478.42, 660.54 and 331.36 is: 457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 660.54 = 331.36 : x
  2. Step 2: Convert to fraction form
    478.42/660.54 = 331.36/x
  3. Step 3: Cross multiply
    478.42x = 660.54 × 331.36
  4. Step 4: Simplify right side
    478.42x = 218,876.53
  5. Step 5: Solve for x
    x = 218,876.53/478.42
  6. Step 6: Final answer
    x = 457.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.