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Finding the Fourth Proportional to 284.58, 392.75 and 191.16

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Solution

The fourth proportional to 284.58, 392.75 and 191.16 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 392.75 = 191.16 : x
  2. Step 2: Convert to fraction form
    284.58/392.75 = 191.16/x
  3. Step 3: Cross multiply
    284.58x = 392.75 × 191.16
  4. Step 4: Simplify right side
    284.58x = 75,078.09
  5. Step 5: Solve for x
    x = 75,078.09/284.58
  6. Step 6: Final answer
    x = 263.82

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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.