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Finding the Fourth Proportional to 163.07, 246.07 and 156.75

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Solution

The fourth proportional to 163.07, 246.07 and 156.75 is: 236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.07 : 246.07 = 156.75 : x
  2. Step 2: Convert to fraction form
    163.07/246.07 = 156.75/x
  3. Step 3: Cross multiply
    163.07x = 246.07 × 156.75
  4. Step 4: Simplify right side
    163.07x = 38,569.86
  5. Step 5: Solve for x
    x = 38,569.86/163.07
  6. Step 6: Final answer
    x = 236.52

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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.