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Finding the Fourth Proportional to 322.42, 443.61 and 313.34

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Solution

The fourth proportional to 322.42, 443.61 and 313.34 is: 431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 443.61 = 313.34 : x
  2. Step 2: Convert to fraction form
    322.42/443.61 = 313.34/x
  3. Step 3: Cross multiply
    322.42x = 443.61 × 313.34
  4. Step 4: Simplify right side
    322.42x = 139,000.76
  5. Step 5: Solve for x
    x = 139,000.76/322.42
  6. Step 6: Final answer
    x = 431.12

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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.