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Finding the Fourth Proportional to 398.28, 552.12 and 384.84

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Solution

The fourth proportional to 398.28, 552.12 and 384.84 is: 533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.28 : 552.12 = 384.84 : x
  2. Step 2: Convert to fraction form
    398.28/552.12 = 384.84/x
  3. Step 3: Cross multiply
    398.28x = 552.12 × 384.84
  4. Step 4: Simplify right side
    398.28x = 212,477.86
  5. Step 5: Solve for x
    x = 212,477.86/398.28
  6. Step 6: Final answer
    x = 533.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.