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Finding the Fourth Proportional to 163.06, 243.67 and 156.58

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Solution

The fourth proportional to 163.06, 243.67 and 156.58 is: 233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.06 : 243.67 = 156.58 : x
  2. Step 2: Convert to fraction form
    163.06/243.67 = 156.58/x
  3. Step 3: Cross multiply
    163.06x = 243.67 × 156.58
  4. Step 4: Simplify right side
    163.06x = 38,153.85
  5. Step 5: Solve for x
    x = 38,153.85/163.06
  6. Step 6: Final answer
    x = 233.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.