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Finding the Fourth Proportional to 164.68, 246.31 and 156.38

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Solution

The fourth proportional to 164.68, 246.31 and 156.38 is: 233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 246.31 = 156.38 : x
  2. Step 2: Convert to fraction form
    164.68/246.31 = 156.38/x
  3. Step 3: Cross multiply
    164.68x = 246.31 × 156.38
  4. Step 4: Simplify right side
    164.68x = 38,516.34
  5. Step 5: Solve for x
    x = 38,516.34/164.68
  6. Step 6: Final answer
    x = 233.89

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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.