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Finding the Fourth Proportional to 285.88, 395.98 and 264.82

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Solution

The fourth proportional to 285.88, 395.98 and 264.82 is: 366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 395.98 = 264.82 : x
  2. Step 2: Convert to fraction form
    285.88/395.98 = 264.82/x
  3. Step 3: Cross multiply
    285.88x = 395.98 × 264.82
  4. Step 4: Simplify right side
    285.88x = 104,863.42
  5. Step 5: Solve for x
    x = 104,863.42/285.88
  6. Step 6: Final answer
    x = 366.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.