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Finding the Fourth Proportional to 284.60, 392.67 and 191.28

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Solution

The fourth proportional to 284.60, 392.67 and 191.28 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.60 : 392.67 = 191.28 : x
  2. Step 2: Convert to fraction form
    284.60/392.67 = 191.28/x
  3. Step 3: Cross multiply
    284.60x = 392.67 × 191.28
  4. Step 4: Simplify right side
    284.60x = 75,109.92
  5. Step 5: Solve for x
    x = 75,109.92/284.60
  6. Step 6: Final answer
    x = 263.92

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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.