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Finding the Fourth Proportional to 322.42, 479.93 and 313.78

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Solution

The fourth proportional to 322.42, 479.93 and 313.78 is: 467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 479.93 = 313.78 : x
  2. Step 2: Convert to fraction form
    322.42/479.93 = 313.78/x
  3. Step 3: Cross multiply
    322.42x = 479.93 × 313.78
  4. Step 4: Simplify right side
    322.42x = 150,592.44
  5. Step 5: Solve for x
    x = 150,592.44/322.42
  6. Step 6: Final answer
    x = 467.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.