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Finding the Fourth Proportional to 163.76, 247.04 and 157.40

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Solution

The fourth proportional to 163.76, 247.04 and 157.40 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 247.04 = 157.40 : x
  2. Step 2: Convert to fraction form
    163.76/247.04 = 157.40/x
  3. Step 3: Cross multiply
    163.76x = 247.04 × 157.40
  4. Step 4: Simplify right side
    163.76x = 38,884.10
  5. Step 5: Solve for x
    x = 38,884.10/163.76
  6. Step 6: Final answer
    x = 237.45

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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.