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Finding the Fourth Proportional to 178.23, 245.91 and 120

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Solution

The fourth proportional to 178.23, 245.91 and 120 is: 165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 245.91 = 120 : x
  2. Step 2: Convert to fraction form
    178.23/245.91 = 120/x
  3. Step 3: Cross multiply
    178.23x = 245.91 × 120
  4. Step 4: Simplify right side
    178.23x = 29,509.20
  5. Step 5: Solve for x
    x = 29,509.20/178.23
  6. Step 6: Final answer
    x = 165.57

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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.