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Finding the Fourth Proportional to 284.94, 391.14 and 268.74

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Solution

The fourth proportional to 284.94, 391.14 and 268.74 is: 368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.94 : 391.14 = 268.74 : x
  2. Step 2: Convert to fraction form
    284.94/391.14 = 268.74/x
  3. Step 3: Cross multiply
    284.94x = 391.14 × 268.74
  4. Step 4: Simplify right side
    284.94x = 105,114.96
  5. Step 5: Solve for x
    x = 105,114.96/284.94
  6. Step 6: Final answer
    x = 368.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.