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Finding the Fourth Proportional to 385.41, 531.86 and 230.13

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Solution

The fourth proportional to 385.41, 531.86 and 230.13 is: 317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.41 : 531.86 = 230.13 : x
  2. Step 2: Convert to fraction form
    385.41/531.86 = 230.13/x
  3. Step 3: Cross multiply
    385.41x = 531.86 × 230.13
  4. Step 4: Simplify right side
    385.41x = 122,396.94
  5. Step 5: Solve for x
    x = 122,396.94/385.41
  6. Step 6: Final answer
    x = 317.58

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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.