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Finding the Fourth Proportional to 384.07, 529.90 and 226.61

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Solution

The fourth proportional to 384.07, 529.90 and 226.61 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.07 : 529.90 = 226.61 : x
  2. Step 2: Convert to fraction form
    384.07/529.90 = 226.61/x
  3. Step 3: Cross multiply
    384.07x = 529.90 × 226.61
  4. Step 4: Simplify right side
    384.07x = 120,080.64
  5. Step 5: Solve for x
    x = 120,080.64/384.07
  6. Step 6: Final answer
    x = 312.65

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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.