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Finding the Fourth Proportional to 164.86, 228.67 and 160.42

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Solution

The fourth proportional to 164.86, 228.67 and 160.42 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 228.67 = 160.42 : x
  2. Step 2: Convert to fraction form
    164.86/228.67 = 160.42/x
  3. Step 3: Cross multiply
    164.86x = 228.67 × 160.42
  4. Step 4: Simplify right side
    164.86x = 36,683.24
  5. Step 5: Solve for x
    x = 36,683.24/164.86
  6. Step 6: Final answer
    x = 222.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.