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Finding the Fourth Proportional to 382.08, 527.07 and 312.19

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Solution

The fourth proportional to 382.08, 527.07 and 312.19 is: 430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 527.07 = 312.19 : x
  2. Step 2: Convert to fraction form
    382.08/527.07 = 312.19/x
  3. Step 3: Cross multiply
    382.08x = 527.07 × 312.19
  4. Step 4: Simplify right side
    382.08x = 164,545.98
  5. Step 5: Solve for x
    x = 164,545.98/382.08
  6. Step 6: Final answer
    x = 430.66

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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.