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Finding the Fourth Proportional to 261.86, 390.33 and 259.43

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Solution

The fourth proportional to 261.86, 390.33 and 259.43 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.86 : 390.33 = 259.43 : x
  2. Step 2: Convert to fraction form
    261.86/390.33 = 259.43/x
  3. Step 3: Cross multiply
    261.86x = 390.33 × 259.43
  4. Step 4: Simplify right side
    261.86x = 101,261.36
  5. Step 5: Solve for x
    x = 101,261.36/261.86
  6. Step 6: Final answer
    x = 386.71

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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.