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Finding the Fourth Proportional to 261.80, 358.60 and 261.08

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Solution

The fourth proportional to 261.80, 358.60 and 261.08 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.80 : 358.60 = 261.08 : x
  2. Step 2: Convert to fraction form
    261.80/358.60 = 261.08/x
  3. Step 3: Cross multiply
    261.80x = 358.60 × 261.08
  4. Step 4: Simplify right side
    261.80x = 93,623.29
  5. Step 5: Solve for x
    x = 93,623.29/261.80
  6. Step 6: Final answer
    x = 357.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.