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Finding the Fourth Proportional to 262.76, 395.71 and 228.93

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Solution

The fourth proportional to 262.76, 395.71 and 228.93 is: 344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 395.71 = 228.93 : x
  2. Step 2: Convert to fraction form
    262.76/395.71 = 228.93/x
  3. Step 3: Cross multiply
    262.76x = 395.71 × 228.93
  4. Step 4: Simplify right side
    262.76x = 90,588.75
  5. Step 5: Solve for x
    x = 90,588.75/262.76
  6. Step 6: Final answer
    x = 344.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.