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Finding the Fourth Proportional to 385.66, 531.84 and 261.46

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Solution

The fourth proportional to 385.66, 531.84 and 261.46 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.66 : 531.84 = 261.46 : x
  2. Step 2: Convert to fraction form
    385.66/531.84 = 261.46/x
  3. Step 3: Cross multiply
    385.66x = 531.84 × 261.46
  4. Step 4: Simplify right side
    385.66x = 139,054.89
  5. Step 5: Solve for x
    x = 139,054.89/385.66
  6. Step 6: Final answer
    x = 360.56

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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.