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Finding the Fourth Proportional to 320.42, 479.80 and 268.94

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Solution

The fourth proportional to 320.42, 479.80 and 268.94 is: 402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.42 : 479.80 = 268.94 : x
  2. Step 2: Convert to fraction form
    320.42/479.80 = 268.94/x
  3. Step 3: Cross multiply
    320.42x = 479.80 × 268.94
  4. Step 4: Simplify right side
    320.42x = 129,037.41
  5. Step 5: Solve for x
    x = 129,037.41/320.42
  6. Step 6: Final answer
    x = 402.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.