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Finding the Fourth Proportional to 176.21, 243.23 and 157.74

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Solution

The fourth proportional to 176.21, 243.23 and 157.74 is: 217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 243.23 = 157.74 : x
  2. Step 2: Convert to fraction form
    176.21/243.23 = 157.74/x
  3. Step 3: Cross multiply
    176.21x = 243.23 × 157.74
  4. Step 4: Simplify right side
    176.21x = 38,366.31
  5. Step 5: Solve for x
    x = 38,366.31/176.21
  6. Step 6: Final answer
    x = 217.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.