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Finding the Fourth Proportional to 383.98, 529.89 and 209.32

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Solution

The fourth proportional to 383.98, 529.89 and 209.32 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 529.89 = 209.32 : x
  2. Step 2: Convert to fraction form
    383.98/529.89 = 209.32/x
  3. Step 3: Cross multiply
    383.98x = 529.89 × 209.32
  4. Step 4: Simplify right side
    383.98x = 110,917.13
  5. Step 5: Solve for x
    x = 110,917.13/383.98
  6. Step 6: Final answer
    x = 288.86

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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.