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Finding the Fourth Proportional to 188.02, 283.16 and 157.78

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Solution

The fourth proportional to 188.02, 283.16 and 157.78 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.02 : 283.16 = 157.78 : x
  2. Step 2: Convert to fraction form
    188.02/283.16 = 157.78/x
  3. Step 3: Cross multiply
    188.02x = 283.16 × 157.78
  4. Step 4: Simplify right side
    188.02x = 44,676.98
  5. Step 5: Solve for x
    x = 44,676.98/188.02
  6. Step 6: Final answer
    x = 237.62

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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.