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Finding the Fourth Proportional to 447.03, 616.80 and 260.48

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Solution

The fourth proportional to 447.03, 616.80 and 260.48 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.03 : 616.80 = 260.48 : x
  2. Step 2: Convert to fraction form
    447.03/616.80 = 260.48/x
  3. Step 3: Cross multiply
    447.03x = 616.80 × 260.48
  4. Step 4: Simplify right side
    447.03x = 160,664.06
  5. Step 5: Solve for x
    x = 160,664.06/447.03
  6. Step 6: Final answer
    x = 359.40

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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.