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Finding the Fourth Proportional to 261.05, 393.37 and 216.40

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Solution

The fourth proportional to 261.05, 393.37 and 216.40 is: 326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.05 : 393.37 = 216.40 : x
  2. Step 2: Convert to fraction form
    261.05/393.37 = 216.40/x
  3. Step 3: Cross multiply
    261.05x = 393.37 × 216.40
  4. Step 4: Simplify right side
    261.05x = 85,123.30
  5. Step 5: Solve for x
    x = 85,123.30/261.05
  6. Step 6: Final answer
    x = 326.08

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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.