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Finding the Fourth Proportional to 380.19, 521.64 and 369.87

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Solution

The fourth proportional to 380.19, 521.64 and 369.87 is: 507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 521.64 = 369.87 : x
  2. Step 2: Convert to fraction form
    380.19/521.64 = 369.87/x
  3. Step 3: Cross multiply
    380.19x = 521.64 × 369.87
  4. Step 4: Simplify right side
    380.19x = 192,937.03
  5. Step 5: Solve for x
    x = 192,937.03/380.19
  6. Step 6: Final answer
    x = 507.47

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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.