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Finding the Fourth Proportional to 380.68, 570.20 and 350.72

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Solution

The fourth proportional to 380.68, 570.20 and 350.72 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 570.20 = 350.72 : x
  2. Step 2: Convert to fraction form
    380.68/570.20 = 350.72/x
  3. Step 3: Cross multiply
    380.68x = 570.20 × 350.72
  4. Step 4: Simplify right side
    380.68x = 199,980.54
  5. Step 5: Solve for x
    x = 199,980.54/380.68
  6. Step 6: Final answer
    x = 525.32

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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.