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Finding the Fourth Proportional to 384.03, 529.98 and 209.39

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Solution

The fourth proportional to 384.03, 529.98 and 209.39 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.03 : 529.98 = 209.39 : x
  2. Step 2: Convert to fraction form
    384.03/529.98 = 209.39/x
  3. Step 3: Cross multiply
    384.03x = 529.98 × 209.39
  4. Step 4: Simplify right side
    384.03x = 110,968.82
  5. Step 5: Solve for x
    x = 110,968.82/384.03
  6. Step 6: Final answer
    x = 288.96

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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.