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Finding the Fourth Proportional to 502.12, 752.37 and 380.22

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Solution

The fourth proportional to 502.12, 752.37 and 380.22 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 752.37 = 380.22 : x
  2. Step 2: Convert to fraction form
    502.12/752.37 = 380.22/x
  3. Step 3: Cross multiply
    502.12x = 752.37 × 380.22
  4. Step 4: Simplify right side
    502.12x = 286,066.12
  5. Step 5: Solve for x
    x = 286,066.12/502.12
  6. Step 6: Final answer
    x = 569.72

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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.