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Finding the Fourth Proportional to 360.70, 541.09 and 178.10

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Solution

The fourth proportional to 360.70, 541.09 and 178.10 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 541.09 = 178.10 : x
  2. Step 2: Convert to fraction form
    360.70/541.09 = 178.10/x
  3. Step 3: Cross multiply
    360.70x = 541.09 × 178.10
  4. Step 4: Simplify right side
    360.70x = 96,368.13
  5. Step 5: Solve for x
    x = 96,368.13/360.70
  6. Step 6: Final answer
    x = 267.17

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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.