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Finding the Fourth Proportional to 187.98, 283.02 and 165.30

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Solution

The fourth proportional to 187.98, 283.02 and 165.30 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 283.02 = 165.30 : x
  2. Step 2: Convert to fraction form
    187.98/283.02 = 165.30/x
  3. Step 3: Cross multiply
    187.98x = 283.02 × 165.30
  4. Step 4: Simplify right side
    187.98x = 46,783.21
  5. Step 5: Solve for x
    x = 46,783.21/187.98
  6. Step 6: Final answer
    x = 248.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.