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Finding the Fourth Proportional to 401.25, 552.56 and 384.39

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Solution

The fourth proportional to 401.25, 552.56 and 384.39 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 552.56 = 384.39 : x
  2. Step 2: Convert to fraction form
    401.25/552.56 = 384.39/x
  3. Step 3: Cross multiply
    401.25x = 552.56 × 384.39
  4. Step 4: Simplify right side
    401.25x = 212,396.62
  5. Step 5: Solve for x
    x = 212,396.62/401.25
  6. Step 6: Final answer
    x = 529.34

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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.