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Finding the Fourth Proportional to 403.80, 557.22 and 285.65

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Solution

The fourth proportional to 403.80, 557.22 and 285.65 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 557.22 = 285.65 : x
  2. Step 2: Convert to fraction form
    403.80/557.22 = 285.65/x
  3. Step 3: Cross multiply
    403.80x = 557.22 × 285.65
  4. Step 4: Simplify right side
    403.80x = 159,169.89
  5. Step 5: Solve for x
    x = 159,169.89/403.80
  6. Step 6: Final answer
    x = 394.18

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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.