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Finding the Fourth Proportional to 385.44, 531.57 and 261.10

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Solution

The fourth proportional to 385.44, 531.57 and 261.10 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.44 : 531.57 = 261.10 : x
  2. Step 2: Convert to fraction form
    385.44/531.57 = 261.10/x
  3. Step 3: Cross multiply
    385.44x = 531.57 × 261.10
  4. Step 4: Simplify right side
    385.44x = 138,792.93
  5. Step 5: Solve for x
    x = 138,792.93/385.44
  6. Step 6: Final answer
    x = 360.09

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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.