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Finding the Fourth Proportional to 261.42, 390.09 and 245.82

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Solution

The fourth proportional to 261.42, 390.09 and 245.82 is: 366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 390.09 = 245.82 : x
  2. Step 2: Convert to fraction form
    261.42/390.09 = 245.82/x
  3. Step 3: Cross multiply
    261.42x = 390.09 × 245.82
  4. Step 4: Simplify right side
    261.42x = 95,891.92
  5. Step 5: Solve for x
    x = 95,891.92/261.42
  6. Step 6: Final answer
    x = 366.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.