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Finding the Fourth Proportional to 446.80, 616.25 and 322.87

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Solution

The fourth proportional to 446.80, 616.25 and 322.87 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 616.25 = 322.87 : x
  2. Step 2: Convert to fraction form
    446.80/616.25 = 322.87/x
  3. Step 3: Cross multiply
    446.80x = 616.25 × 322.87
  4. Step 4: Simplify right side
    446.80x = 198,968.64
  5. Step 5: Solve for x
    x = 198,968.64/446.80
  6. Step 6: Final answer
    x = 445.32

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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.