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Finding the Fourth Proportional to 384.08, 529.85 and 226.66

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Solution

The fourth proportional to 384.08, 529.85 and 226.66 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 529.85 = 226.66 : x
  2. Step 2: Convert to fraction form
    384.08/529.85 = 226.66/x
  3. Step 3: Cross multiply
    384.08x = 529.85 × 226.66
  4. Step 4: Simplify right side
    384.08x = 120,093.34
  5. Step 5: Solve for x
    x = 120,093.34/384.08
  6. Step 6: Final answer
    x = 312.68

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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.