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Finding the Fourth Proportional to 261.13, 393.49 and 216.48

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Solution

The fourth proportional to 261.13, 393.49 and 216.48 is: 326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.13 : 393.49 = 216.48 : x
  2. Step 2: Convert to fraction form
    261.13/393.49 = 216.48/x
  3. Step 3: Cross multiply
    261.13x = 393.49 × 216.48
  4. Step 4: Simplify right side
    261.13x = 85,182.72
  5. Step 5: Solve for x
    x = 85,182.72/261.13
  6. Step 6: Final answer
    x = 326.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.