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Finding the Fourth Proportional to 370.22, 507.20 and 356.38

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Solution

The fourth proportional to 370.22, 507.20 and 356.38 is: 488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.22 : 507.20 = 356.38 : x
  2. Step 2: Convert to fraction form
    370.22/507.20 = 356.38/x
  3. Step 3: Cross multiply
    370.22x = 507.20 × 356.38
  4. Step 4: Simplify right side
    370.22x = 180,755.56
  5. Step 5: Solve for x
    x = 180,755.56/370.22
  6. Step 6: Final answer
    x = 488.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.