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Finding the Fourth Proportional to 261.97, 394.51 and 228.14

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Solution

The fourth proportional to 261.97, 394.51 and 228.14 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 394.51 = 228.14 : x
  2. Step 2: Convert to fraction form
    261.97/394.51 = 228.14/x
  3. Step 3: Cross multiply
    261.97x = 394.51 × 228.14
  4. Step 4: Simplify right side
    261.97x = 90,005.07
  5. Step 5: Solve for x
    x = 90,005.07/261.97
  6. Step 6: Final answer
    x = 343.57

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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.