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Finding the Fourth Proportional to 178.02, 268.70 and 178.02

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Solution

The fourth proportional to 178.02, 268.70 and 178.02 is: 268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 268.70 = 178.02 : x
  2. Step 2: Convert to fraction form
    178.02/268.70 = 178.02/x
  3. Step 3: Cross multiply
    178.02x = 268.70 × 178.02
  4. Step 4: Simplify right side
    178.02x = 47,833.08
  5. Step 5: Solve for x
    x = 47,833.08/178.02
  6. Step 6: Final answer
    x = 268.70

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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.