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Finding the Fourth Proportional to 398.14, 594.82 and 384.50

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Solution

The fourth proportional to 398.14, 594.82 and 384.50 is: 574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.14 : 594.82 = 384.50 : x
  2. Step 2: Convert to fraction form
    398.14/594.82 = 384.50/x
  3. Step 3: Cross multiply
    398.14x = 594.82 × 384.50
  4. Step 4: Simplify right side
    398.14x = 228,708.29
  5. Step 5: Solve for x
    x = 228,708.29/398.14
  6. Step 6: Final answer
    x = 574.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.