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Finding the Fourth Proportional to 385.53, 531.91 and 219.74

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Solution

The fourth proportional to 385.53, 531.91 and 219.74 is: 303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.53 : 531.91 = 219.74 : x
  2. Step 2: Convert to fraction form
    385.53/531.91 = 219.74/x
  3. Step 3: Cross multiply
    385.53x = 531.91 × 219.74
  4. Step 4: Simplify right side
    385.53x = 116,881.90
  5. Step 5: Solve for x
    x = 116,881.90/385.53
  6. Step 6: Final answer
    x = 303.17

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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.