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Finding the Fourth Proportional to 380.10, 573.66 and 370.38

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Solution

The fourth proportional to 380.10, 573.66 and 370.38 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 573.66 = 370.38 : x
  2. Step 2: Convert to fraction form
    380.10/573.66 = 370.38/x
  3. Step 3: Cross multiply
    380.10x = 573.66 × 370.38
  4. Step 4: Simplify right side
    380.10x = 212,472.19
  5. Step 5: Solve for x
    x = 212,472.19/380.10
  6. Step 6: Final answer
    x = 558.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.