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Finding the Fourth Proportional to 380.42, 521.80 and 366.74

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Solution

The fourth proportional to 380.42, 521.80 and 366.74 is: 503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.42 : 521.80 = 366.74 : x
  2. Step 2: Convert to fraction form
    380.42/521.80 = 366.74/x
  3. Step 3: Cross multiply
    380.42x = 521.80 × 366.74
  4. Step 4: Simplify right side
    380.42x = 191,364.93
  5. Step 5: Solve for x
    x = 191,364.93/380.42
  6. Step 6: Final answer
    x = 503.04

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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.