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Finding the Fourth Proportional to 936.80, 1,405.20 and 360.08

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Solution

The fourth proportional to 936.80, 1,405.20 and 360.08 is: 540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.80 : 1,405.20 = 360.08 : x
  2. Step 2: Convert to fraction form
    936.80/1,405.20 = 360.08/x
  3. Step 3: Cross multiply
    936.80x = 1,405.20 × 360.08
  4. Step 4: Simplify right side
    936.80x = 505,984.42
  5. Step 5: Solve for x
    x = 505,984.42/936.80
  6. Step 6: Final answer
    x = 540.12

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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.