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Finding the Fourth Proportional to 160.46, 241.68 and 152.78

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Solution

The fourth proportional to 160.46, 241.68 and 152.78 is: 230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 241.68 = 152.78 : x
  2. Step 2: Convert to fraction form
    160.46/241.68 = 152.78/x
  3. Step 3: Cross multiply
    160.46x = 241.68 × 152.78
  4. Step 4: Simplify right side
    160.46x = 36,923.87
  5. Step 5: Solve for x
    x = 36,923.87/160.46
  6. Step 6: Final answer
    x = 230.11

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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.