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Finding the Fourth Proportional to 178.62, 268.97 and 156.06

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Solution

The fourth proportional to 178.62, 268.97 and 156.06 is: 235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 268.97 = 156.06 : x
  2. Step 2: Convert to fraction form
    178.62/268.97 = 156.06/x
  3. Step 3: Cross multiply
    178.62x = 268.97 × 156.06
  4. Step 4: Simplify right side
    178.62x = 41,975.46
  5. Step 5: Solve for x
    x = 41,975.46/178.62
  6. Step 6: Final answer
    x = 235.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.