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Finding the Fourth Proportional to 163.46, 243.69 and 145.10

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Solution

The fourth proportional to 163.46, 243.69 and 145.10 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 243.69 = 145.10 : x
  2. Step 2: Convert to fraction form
    163.46/243.69 = 145.10/x
  3. Step 3: Cross multiply
    163.46x = 243.69 × 145.10
  4. Step 4: Simplify right side
    163.46x = 35,359.42
  5. Step 5: Solve for x
    x = 35,359.42/163.46
  6. Step 6: Final answer
    x = 216.32

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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.