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Finding the Fourth Proportional to 421.34, 580.37 and 322.92

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Solution

The fourth proportional to 421.34, 580.37 and 322.92 is: 444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 580.37 = 322.92 : x
  2. Step 2: Convert to fraction form
    421.34/580.37 = 322.92/x
  3. Step 3: Cross multiply
    421.34x = 580.37 × 322.92
  4. Step 4: Simplify right side
    421.34x = 187,411.47
  5. Step 5: Solve for x
    x = 187,411.47/421.34
  6. Step 6: Final answer
    x = 444.80

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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.