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Finding the Fourth Proportional to 284.19, 391.91 and 228.75

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Solution

The fourth proportional to 284.19, 391.91 and 228.75 is: 315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.19 : 391.91 = 228.75 : x
  2. Step 2: Convert to fraction form
    284.19/391.91 = 228.75/x
  3. Step 3: Cross multiply
    284.19x = 391.91 × 228.75
  4. Step 4: Simplify right side
    284.19x = 89,648.27
  5. Step 5: Solve for x
    x = 89,648.27/284.19
  6. Step 6: Final answer
    x = 315.45

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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.