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Finding the Fourth Proportional to 283.98, 392 and 185.76

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Solution

The fourth proportional to 283.98, 392 and 185.76 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 392 = 185.76 : x
  2. Step 2: Convert to fraction form
    283.98/392 = 185.76/x
  3. Step 3: Cross multiply
    283.98x = 392 × 185.76
  4. Step 4: Simplify right side
    283.98x = 72,817.92
  5. Step 5: Solve for x
    x = 72,817.92/283.98
  6. Step 6: Final answer
    x = 256.42

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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.