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Finding the Fourth Proportional to 386.24, 532.78 and 261.90

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Solution

The fourth proportional to 386.24, 532.78 and 261.90 is: 361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 532.78 = 261.90 : x
  2. Step 2: Convert to fraction form
    386.24/532.78 = 261.90/x
  3. Step 3: Cross multiply
    386.24x = 532.78 × 261.90
  4. Step 4: Simplify right side
    386.24x = 139,534.43
  5. Step 5: Solve for x
    x = 139,534.43/386.24
  6. Step 6: Final answer
    x = 361.27

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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.