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Finding the Fourth Proportional to 261.96, 390.88 and 260.44

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Solution

The fourth proportional to 261.96, 390.88 and 260.44 is: 388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 390.88 = 260.44 : x
  2. Step 2: Convert to fraction form
    261.96/390.88 = 260.44/x
  3. Step 3: Cross multiply
    261.96x = 390.88 × 260.44
  4. Step 4: Simplify right side
    261.96x = 101,800.79
  5. Step 5: Solve for x
    x = 101,800.79/261.96
  6. Step 6: Final answer
    x = 388.61

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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.