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Finding the Fourth Proportional to 360.14, 540.19 and 177.47

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Solution

The fourth proportional to 360.14, 540.19 and 177.47 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.14 : 540.19 = 177.47 : x
  2. Step 2: Convert to fraction form
    360.14/540.19 = 177.47/x
  3. Step 3: Cross multiply
    360.14x = 540.19 × 177.47
  4. Step 4: Simplify right side
    360.14x = 95,866.07
  5. Step 5: Solve for x
    x = 95,866.07/360.14
  6. Step 6: Final answer
    x = 266.19

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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.