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Finding the Fourth Proportional to 166.02, 228.99 and 157.98

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Solution

The fourth proportional to 166.02, 228.99 and 157.98 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 228.99 = 157.98 : x
  2. Step 2: Convert to fraction form
    166.02/228.99 = 157.98/x
  3. Step 3: Cross multiply
    166.02x = 228.99 × 157.98
  4. Step 4: Simplify right side
    166.02x = 36,175.84
  5. Step 5: Solve for x
    x = 36,175.84/166.02
  6. Step 6: Final answer
    x = 217.90

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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.