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Finding the Fourth Proportional to 384.86, 531.11 and 219.05

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Solution

The fourth proportional to 384.86, 531.11 and 219.05 is: 302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 531.11 = 219.05 : x
  2. Step 2: Convert to fraction form
    384.86/531.11 = 219.05/x
  3. Step 3: Cross multiply
    384.86x = 531.11 × 219.05
  4. Step 4: Simplify right side
    384.86x = 116,339.53
  5. Step 5: Solve for x
    x = 116,339.53/384.86
  6. Step 6: Final answer
    x = 302.29

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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.