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Finding the Fourth Proportional to 403.46, 556.81 and 285.47

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Solution

The fourth proportional to 403.46, 556.81 and 285.47 is: 393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.46 : 556.81 = 285.47 : x
  2. Step 2: Convert to fraction form
    403.46/556.81 = 285.47/x
  3. Step 3: Cross multiply
    403.46x = 556.81 × 285.47
  4. Step 4: Simplify right side
    403.46x = 158,953.23
  5. Step 5: Solve for x
    x = 158,953.23/403.46
  6. Step 6: Final answer
    x = 393.97

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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.