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Finding the Fourth Proportional to 176.20, 242.06 and 143.35

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Solution

The fourth proportional to 176.20, 242.06 and 143.35 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 242.06 = 143.35 : x
  2. Step 2: Convert to fraction form
    176.20/242.06 = 143.35/x
  3. Step 3: Cross multiply
    176.20x = 242.06 × 143.35
  4. Step 4: Simplify right side
    176.20x = 34,699.30
  5. Step 5: Solve for x
    x = 34,699.30/176.20
  6. Step 6: Final answer
    x = 196.93

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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.