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Finding the Fourth Proportional to 401.60, 554.48 and 252.45

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Solution

The fourth proportional to 401.60, 554.48 and 252.45 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 554.48 = 252.45 : x
  2. Step 2: Convert to fraction form
    401.60/554.48 = 252.45/x
  3. Step 3: Cross multiply
    401.60x = 554.48 × 252.45
  4. Step 4: Simplify right side
    401.60x = 139,978.48
  5. Step 5: Solve for x
    x = 139,978.48/401.60
  6. Step 6: Final answer
    x = 348.55

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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.