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Finding the Fourth Proportional to 261.84, 394.08 and 197.18

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Solution

The fourth proportional to 261.84, 394.08 and 197.18 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 394.08 = 197.18 : x
  2. Step 2: Convert to fraction form
    261.84/394.08 = 197.18/x
  3. Step 3: Cross multiply
    261.84x = 394.08 × 197.18
  4. Step 4: Simplify right side
    261.84x = 77,704.69
  5. Step 5: Solve for x
    x = 77,704.69/261.84
  6. Step 6: Final answer
    x = 296.76

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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.