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Finding the Fourth Proportional to 380.95, 527.92 and 373.66

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Solution

The fourth proportional to 380.95, 527.92 and 373.66 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.95 : 527.92 = 373.66 : x
  2. Step 2: Convert to fraction form
    380.95/527.92 = 373.66/x
  3. Step 3: Cross multiply
    380.95x = 527.92 × 373.66
  4. Step 4: Simplify right side
    380.95x = 197,262.59
  5. Step 5: Solve for x
    x = 197,262.59/380.95
  6. Step 6: Final answer
    x = 517.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.