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Finding the Fourth Proportional to 384.78, 576.65 and 211.19

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Solution

The fourth proportional to 384.78, 576.65 and 211.19 is: 316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 576.65 = 211.19 : x
  2. Step 2: Convert to fraction form
    384.78/576.65 = 211.19/x
  3. Step 3: Cross multiply
    384.78x = 576.65 × 211.19
  4. Step 4: Simplify right side
    384.78x = 121,782.71
  5. Step 5: Solve for x
    x = 121,782.71/384.78
  6. Step 6: Final answer
    x = 316.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.