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Finding the Fourth Proportional to 163.14, 242.96 and 153.14

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Solution

The fourth proportional to 163.14, 242.96 and 153.14 is: 228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 242.96 = 153.14 : x
  2. Step 2: Convert to fraction form
    163.14/242.96 = 153.14/x
  3. Step 3: Cross multiply
    163.14x = 242.96 × 153.14
  4. Step 4: Simplify right side
    163.14x = 37,206.89
  5. Step 5: Solve for x
    x = 37,206.89/163.14
  6. Step 6: Final answer
    x = 228.07

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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.