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Finding the Fourth Proportional to 261.59, 390.07 and 259.27

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Solution

The fourth proportional to 261.59, 390.07 and 259.27 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.59 : 390.07 = 259.27 : x
  2. Step 2: Convert to fraction form
    261.59/390.07 = 259.27/x
  3. Step 3: Cross multiply
    261.59x = 390.07 × 259.27
  4. Step 4: Simplify right side
    261.59x = 101,132.15
  5. Step 5: Solve for x
    x = 101,132.15/261.59
  6. Step 6: Final answer
    x = 386.61

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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.