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Finding the Fourth Proportional to 261.83, 390.62 and 249.08

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Solution

The fourth proportional to 261.83, 390.62 and 249.08 is: 371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.83 : 390.62 = 249.08 : x
  2. Step 2: Convert to fraction form
    261.83/390.62 = 249.08/x
  3. Step 3: Cross multiply
    261.83x = 390.62 × 249.08
  4. Step 4: Simplify right side
    261.83x = 97,294.30
  5. Step 5: Solve for x
    x = 97,294.30/261.83
  6. Step 6: Final answer
    x = 371.59

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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.