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Finding the Fourth Proportional to 285.92, 395.16 and 228.32

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Solution

The fourth proportional to 285.92, 395.16 and 228.32 is: 315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 395.16 = 228.32 : x
  2. Step 2: Convert to fraction form
    285.92/395.16 = 228.32/x
  3. Step 3: Cross multiply
    285.92x = 395.16 × 228.32
  4. Step 4: Simplify right side
    285.92x = 90,222.93
  5. Step 5: Solve for x
    x = 90,222.93/285.92
  6. Step 6: Final answer
    x = 315.55

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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.