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Finding the Fourth Proportional to 401.92, 554.96 and 285.60

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Solution

The fourth proportional to 401.92, 554.96 and 285.60 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.92 : 554.96 = 285.60 : x
  2. Step 2: Convert to fraction form
    401.92/554.96 = 285.60/x
  3. Step 3: Cross multiply
    401.92x = 554.96 × 285.60
  4. Step 4: Simplify right side
    401.92x = 158,496.58
  5. Step 5: Solve for x
    x = 158,496.58/401.92
  6. Step 6: Final answer
    x = 394.35

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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.