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Finding the Fourth Proportional to 384.05, 529.99 and 209.39

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Solution

The fourth proportional to 384.05, 529.99 and 209.39 is: 288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 529.99 = 209.39 : x
  2. Step 2: Convert to fraction form
    384.05/529.99 = 209.39/x
  3. Step 3: Cross multiply
    384.05x = 529.99 × 209.39
  4. Step 4: Simplify right side
    384.05x = 110,971.43
  5. Step 5: Solve for x
    x = 110,971.43/384.05
  6. Step 6: Final answer
    x = 288.95

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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.