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Finding the Fourth Proportional to 382.86, 527.94 and 312.39

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Solution

The fourth proportional to 382.86, 527.94 and 312.39 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 527.94 = 312.39 : x
  2. Step 2: Convert to fraction form
    382.86/527.94 = 312.39/x
  3. Step 3: Cross multiply
    382.86x = 527.94 × 312.39
  4. Step 4: Simplify right side
    382.86x = 164,923.18
  5. Step 5: Solve for x
    x = 164,923.18/382.86
  6. Step 6: Final answer
    x = 430.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.