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Finding the Fourth Proportional to 283.94, 392.00 and 191.18

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Solution

The fourth proportional to 283.94, 392.00 and 191.18 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 392.00 = 191.18 : x
  2. Step 2: Convert to fraction form
    283.94/392.00 = 191.18/x
  3. Step 3: Cross multiply
    283.94x = 392.00 × 191.18
  4. Step 4: Simplify right side
    283.94x = 74,944.02
  5. Step 5: Solve for x
    x = 74,944.02/283.94
  6. Step 6: Final answer
    x = 263.94

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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.