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Finding the Fourth Proportional to 269.84, 402.85 and 228.84

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Solution

The fourth proportional to 269.84, 402.85 and 228.84 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.84 : 402.85 = 228.84 : x
  2. Step 2: Convert to fraction form
    269.84/402.85 = 228.84/x
  3. Step 3: Cross multiply
    269.84x = 402.85 × 228.84
  4. Step 4: Simplify right side
    269.84x = 92,188.19
  5. Step 5: Solve for x
    x = 92,188.19/269.84
  6. Step 6: Final answer
    x = 341.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.