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Finding the Fourth Proportional to 385.76, 531.96 and 230.60

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Solution

The fourth proportional to 385.76, 531.96 and 230.60 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 531.96 = 230.60 : x
  2. Step 2: Convert to fraction form
    385.76/531.96 = 230.60/x
  3. Step 3: Cross multiply
    385.76x = 531.96 × 230.60
  4. Step 4: Simplify right side
    385.76x = 122,669.98
  5. Step 5: Solve for x
    x = 122,669.98/385.76
  6. Step 6: Final answer
    x = 318.00

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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.