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Finding the Fourth Proportional to 178.05, 268.06 and 124.32

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Solution

The fourth proportional to 178.05, 268.06 and 124.32 is: 187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 268.06 = 124.32 : x
  2. Step 2: Convert to fraction form
    178.05/268.06 = 124.32/x
  3. Step 3: Cross multiply
    178.05x = 268.06 × 124.32
  4. Step 4: Simplify right side
    178.05x = 33,325.22
  5. Step 5: Solve for x
    x = 33,325.22/178.05
  6. Step 6: Final answer
    x = 187.17

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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.