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Finding the Fourth Proportional to 398.00, 593.09 and 384.95

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Solution

The fourth proportional to 398.00, 593.09 and 384.95 is: 573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.00 : 593.09 = 384.95 : x
  2. Step 2: Convert to fraction form
    398.00/593.09 = 384.95/x
  3. Step 3: Cross multiply
    398.00x = 593.09 × 384.95
  4. Step 4: Simplify right side
    398.00x = 228,305.11
  5. Step 5: Solve for x
    x = 228,305.11/398.00
  6. Step 6: Final answer
    x = 573.64

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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.