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Finding the Fourth Proportional to 246.42, 369.71 and 164.48

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Solution

The fourth proportional to 246.42, 369.71 and 164.48 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.42 : 369.71 = 164.48 : x
  2. Step 2: Convert to fraction form
    246.42/369.71 = 164.48/x
  3. Step 3: Cross multiply
    246.42x = 369.71 × 164.48
  4. Step 4: Simplify right side
    246.42x = 60,808.77
  5. Step 5: Solve for x
    x = 60,808.77/246.42
  6. Step 6: Final answer
    x = 246.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.