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Finding the Fourth Proportional to 1,293.20, 1,939.60 and 368.88

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Solution

The fourth proportional to 1,293.20, 1,939.60 and 368.88 is: 553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.20 : 1,939.60 = 368.88 : x
  2. Step 2: Convert to fraction form
    1,293.20/1,939.60 = 368.88/x
  3. Step 3: Cross multiply
    1,293.20x = 1,939.60 × 368.88
  4. Step 4: Simplify right side
    1,293.20x = 715,479.65
  5. Step 5: Solve for x
    x = 715,479.65/1,293.20
  6. Step 6: Final answer
    x = 553.26

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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.