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Finding the Fourth Proportional to 384.89, 531.20 and 219.07

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Solution

The fourth proportional to 384.89, 531.20 and 219.07 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.89 : 531.20 = 219.07 : x
  2. Step 2: Convert to fraction form
    384.89/531.20 = 219.07/x
  3. Step 3: Cross multiply
    384.89x = 531.20 × 219.07
  4. Step 4: Simplify right side
    384.89x = 116,369.98
  5. Step 5: Solve for x
    x = 116,369.98/384.89
  6. Step 6: Final answer
    x = 302.35

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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.