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Finding the Fourth Proportional to 385.10, 531.23 and 260.80

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Solution

The fourth proportional to 385.10, 531.23 and 260.80 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 531.23 = 260.80 : x
  2. Step 2: Convert to fraction form
    385.10/531.23 = 260.80/x
  3. Step 3: Cross multiply
    385.10x = 531.23 × 260.80
  4. Step 4: Simplify right side
    385.10x = 138,544.78
  5. Step 5: Solve for x
    x = 138,544.78/385.10
  6. Step 6: Final answer
    x = 359.76

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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.