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Finding the Fourth Proportional to 179.55, 268.53 and 157.07

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Solution

The fourth proportional to 179.55, 268.53 and 157.07 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.55 : 268.53 = 157.07 : x
  2. Step 2: Convert to fraction form
    179.55/268.53 = 157.07/x
  3. Step 3: Cross multiply
    179.55x = 268.53 × 157.07
  4. Step 4: Simplify right side
    179.55x = 42,178.01
  5. Step 5: Solve for x
    x = 42,178.01/179.55
  6. Step 6: Final answer
    x = 234.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.