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Finding the Fourth Proportional to 284.42, 392.57 and 191.21

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Solution

The fourth proportional to 284.42, 392.57 and 191.21 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.42 : 392.57 = 191.21 : x
  2. Step 2: Convert to fraction form
    284.42/392.57 = 191.21/x
  3. Step 3: Cross multiply
    284.42x = 392.57 × 191.21
  4. Step 4: Simplify right side
    284.42x = 75,060.39
  5. Step 5: Solve for x
    x = 75,060.39/284.42
  6. Step 6: Final answer
    x = 263.91

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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.