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Finding the Fourth Proportional to 163.15, 242.62 and 158.02

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Solution

The fourth proportional to 163.15, 242.62 and 158.02 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 242.62 = 158.02 : x
  2. Step 2: Convert to fraction form
    163.15/242.62 = 158.02/x
  3. Step 3: Cross multiply
    163.15x = 242.62 × 158.02
  4. Step 4: Simplify right side
    163.15x = 38,338.81
  5. Step 5: Solve for x
    x = 38,338.81/163.15
  6. Step 6: Final answer
    x = 234.99

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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.