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Finding the Fourth Proportional to 360.42, 540.45 and 144.06

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Solution

The fourth proportional to 360.42, 540.45 and 144.06 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.42 : 540.45 = 144.06 : x
  2. Step 2: Convert to fraction form
    360.42/540.45 = 144.06/x
  3. Step 3: Cross multiply
    360.42x = 540.45 × 144.06
  4. Step 4: Simplify right side
    360.42x = 77,857.23
  5. Step 5: Solve for x
    x = 77,857.23/360.42
  6. Step 6: Final answer
    x = 216.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.