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Finding the Fourth Proportional to 403.54, 556.84 and 285.57

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Solution

The fourth proportional to 403.54, 556.84 and 285.57 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.54 : 556.84 = 285.57 : x
  2. Step 2: Convert to fraction form
    403.54/556.84 = 285.57/x
  3. Step 3: Cross multiply
    403.54x = 556.84 × 285.57
  4. Step 4: Simplify right side
    403.54x = 159,017.48
  5. Step 5: Solve for x
    x = 159,017.48/403.54
  6. Step 6: Final answer
    x = 394.06

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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.