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Finding the Fourth Proportional to 262.86, 362.82 and 258.90

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Solution

The fourth proportional to 262.86, 362.82 and 258.90 is: 357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.86 : 362.82 = 258.90 : x
  2. Step 2: Convert to fraction form
    262.86/362.82 = 258.90/x
  3. Step 3: Cross multiply
    262.86x = 362.82 × 258.90
  4. Step 4: Simplify right side
    262.86x = 93,934.10
  5. Step 5: Solve for x
    x = 93,934.10/262.86
  6. Step 6: Final answer
    x = 357.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.