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Finding the Fourth Proportional to 310.29, 427.86 and 285.99

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Solution

The fourth proportional to 310.29, 427.86 and 285.99 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.29 : 427.86 = 285.99 : x
  2. Step 2: Convert to fraction form
    310.29/427.86 = 285.99/x
  3. Step 3: Cross multiply
    310.29x = 427.86 × 285.99
  4. Step 4: Simplify right side
    310.29x = 122,363.68
  5. Step 5: Solve for x
    x = 122,363.68/310.29
  6. Step 6: Final answer
    x = 394.35

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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.