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Finding the Fourth Proportional to 178.55, 245.84 and 162.35

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Solution

The fourth proportional to 178.55, 245.84 and 162.35 is: 223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.55 : 245.84 = 162.35 : x
  2. Step 2: Convert to fraction form
    178.55/245.84 = 162.35/x
  3. Step 3: Cross multiply
    178.55x = 245.84 × 162.35
  4. Step 4: Simplify right side
    178.55x = 39,912.12
  5. Step 5: Solve for x
    x = 39,912.12/178.55
  6. Step 6: Final answer
    x = 223.53

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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.