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Finding the Fourth Proportional to 176.26, 242.16 and 158.71

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Solution

The fourth proportional to 176.26, 242.16 and 158.71 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.26 : 242.16 = 158.71 : x
  2. Step 2: Convert to fraction form
    176.26/242.16 = 158.71/x
  3. Step 3: Cross multiply
    176.26x = 242.16 × 158.71
  4. Step 4: Simplify right side
    176.26x = 38,433.21
  5. Step 5: Solve for x
    x = 38,433.21/176.26
  6. Step 6: Final answer
    x = 218.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.