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Finding the Fourth Proportional to 449.34, 619.92 and 262.86

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Solution

The fourth proportional to 449.34, 619.92 and 262.86 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 619.92 = 262.86 : x
  2. Step 2: Convert to fraction form
    449.34/619.92 = 262.86/x
  3. Step 3: Cross multiply
    449.34x = 619.92 × 262.86
  4. Step 4: Simplify right side
    449.34x = 162,952.17
  5. Step 5: Solve for x
    x = 162,952.17/449.34
  6. Step 6: Final answer
    x = 362.65

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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.