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Finding the Fourth Proportional to 380.08, 570.08 and 133.28

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Solution

The fourth proportional to 380.08, 570.08 and 133.28 is: 199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 570.08 = 133.28 : x
  2. Step 2: Convert to fraction form
    380.08/570.08 = 133.28/x
  3. Step 3: Cross multiply
    380.08x = 570.08 × 133.28
  4. Step 4: Simplify right side
    380.08x = 75,980.26
  5. Step 5: Solve for x
    x = 75,980.26/380.08
  6. Step 6: Final answer
    x = 199.91

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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.