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Finding the Fourth Proportional to 446.98, 616.82 and 257.92

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Solution

The fourth proportional to 446.98, 616.82 and 257.92 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.98 : 616.82 = 257.92 : x
  2. Step 2: Convert to fraction form
    446.98/616.82 = 257.92/x
  3. Step 3: Cross multiply
    446.98x = 616.82 × 257.92
  4. Step 4: Simplify right side
    446.98x = 159,089.02
  5. Step 5: Solve for x
    x = 159,089.02/446.98
  6. Step 6: Final answer
    x = 355.92

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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.