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Finding the Fourth Proportional to 449.34, 619.96 and 291.98

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Solution

The fourth proportional to 449.34, 619.96 and 291.98 is: 402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 619.96 = 291.98 : x
  2. Step 2: Convert to fraction form
    449.34/619.96 = 291.98/x
  3. Step 3: Cross multiply
    449.34x = 619.96 × 291.98
  4. Step 4: Simplify right side
    449.34x = 181,015.92
  5. Step 5: Solve for x
    x = 181,015.92/449.34
  6. Step 6: Final answer
    x = 402.85

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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.