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Finding the Fourth Proportional to 178.37, 245.99 and 141.47

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Solution

The fourth proportional to 178.37, 245.99 and 141.47 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.37 : 245.99 = 141.47 : x
  2. Step 2: Convert to fraction form
    178.37/245.99 = 141.47/x
  3. Step 3: Cross multiply
    178.37x = 245.99 × 141.47
  4. Step 4: Simplify right side
    178.37x = 34,799.50
  5. Step 5: Solve for x
    x = 34,799.50/178.37
  6. Step 6: Final answer
    x = 195.10

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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.