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Finding the Fourth Proportional to 380.39, 521.66 and 364.61

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Solution

The fourth proportional to 380.39, 521.66 and 364.61 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.39 : 521.66 = 364.61 : x
  2. Step 2: Convert to fraction form
    380.39/521.66 = 364.61/x
  3. Step 3: Cross multiply
    380.39x = 521.66 × 364.61
  4. Step 4: Simplify right side
    380.39x = 190,199.84
  5. Step 5: Solve for x
    x = 190,199.84/380.39
  6. Step 6: Final answer
    x = 500.01

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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.