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Finding the Fourth Proportional to 177.45, 245.94 and 174.82

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Solution

The fourth proportional to 177.45, 245.94 and 174.82 is: 242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 245.94 = 174.82 : x
  2. Step 2: Convert to fraction form
    177.45/245.94 = 174.82/x
  3. Step 3: Cross multiply
    177.45x = 245.94 × 174.82
  4. Step 4: Simplify right side
    177.45x = 42,994.36
  5. Step 5: Solve for x
    x = 42,994.36/177.45
  6. Step 6: Final answer
    x = 242.29

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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.