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Finding the Fourth Proportional to 178.04, 245.40 and 122.76

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Solution

The fourth proportional to 178.04, 245.40 and 122.76 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 245.40 = 122.76 : x
  2. Step 2: Convert to fraction form
    178.04/245.40 = 122.76/x
  3. Step 3: Cross multiply
    178.04x = 245.40 × 122.76
  4. Step 4: Simplify right side
    178.04x = 30,125.30
  5. Step 5: Solve for x
    x = 30,125.30/178.04
  6. Step 6: Final answer
    x = 169.21

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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.