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Finding the Fourth Proportional to 322.40, 442.12 and 319.70

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Solution

The fourth proportional to 322.40, 442.12 and 319.70 is: 438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.40 : 442.12 = 319.70 : x
  2. Step 2: Convert to fraction form
    322.40/442.12 = 319.70/x
  3. Step 3: Cross multiply
    322.40x = 442.12 × 319.70
  4. Step 4: Simplify right side
    322.40x = 141,345.76
  5. Step 5: Solve for x
    x = 141,345.76/322.40
  6. Step 6: Final answer
    x = 438.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.