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Finding the Fourth Proportional to 176.33, 245.02 and 174.43

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Solution

The fourth proportional to 176.33, 245.02 and 174.43 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.33 : 245.02 = 174.43 : x
  2. Step 2: Convert to fraction form
    176.33/245.02 = 174.43/x
  3. Step 3: Cross multiply
    176.33x = 245.02 × 174.43
  4. Step 4: Simplify right side
    176.33x = 42,739.23
  5. Step 5: Solve for x
    x = 42,739.23/176.33
  6. Step 6: Final answer
    x = 242.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.