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Finding the Fourth Proportional to 261.77, 393.96 and 197.10

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Solution

The fourth proportional to 261.77, 393.96 and 197.10 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.77 : 393.96 = 197.10 : x
  2. Step 2: Convert to fraction form
    261.77/393.96 = 197.10/x
  3. Step 3: Cross multiply
    261.77x = 393.96 × 197.10
  4. Step 4: Simplify right side
    261.77x = 77,649.52
  5. Step 5: Solve for x
    x = 77,649.52/261.77
  6. Step 6: Final answer
    x = 296.64

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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.