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Finding the Fourth Proportional to 401.83, 554.80 and 252.52

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Solution

The fourth proportional to 401.83, 554.80 and 252.52 is: 348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.83 : 554.80 = 252.52 : x
  2. Step 2: Convert to fraction form
    401.83/554.80 = 252.52/x
  3. Step 3: Cross multiply
    401.83x = 554.80 × 252.52
  4. Step 4: Simplify right side
    401.83x = 140,096.55
  5. Step 5: Solve for x
    x = 140,096.55/401.83
  6. Step 6: Final answer
    x = 348.65

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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.