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Finding the Fourth Proportional to 401.60, 553.56 and 308

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Solution

The fourth proportional to 401.60, 553.56 and 308 is: 424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 553.56 = 308 : x
  2. Step 2: Convert to fraction form
    401.60/553.56 = 308/x
  3. Step 3: Cross multiply
    401.60x = 553.56 × 308
  4. Step 4: Simplify right side
    401.60x = 170,496.48
  5. Step 5: Solve for x
    x = 170,496.48/401.60
  6. Step 6: Final answer
    x = 424.54

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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.