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Finding the Fourth Proportional to 385.31, 531.70 and 219.53

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Solution

The fourth proportional to 385.31, 531.70 and 219.53 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.31 : 531.70 = 219.53 : x
  2. Step 2: Convert to fraction form
    385.31/531.70 = 219.53/x
  3. Step 3: Cross multiply
    385.31x = 531.70 × 219.53
  4. Step 4: Simplify right side
    385.31x = 116,721.89
  5. Step 5: Solve for x
    x = 116,721.89/385.31
  6. Step 6: Final answer
    x = 302.93

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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.