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Finding the Fourth Proportional to 312.75, 430.99 and 277.52

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Solution

The fourth proportional to 312.75, 430.99 and 277.52 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 430.99 = 277.52 : x
  2. Step 2: Convert to fraction form
    312.75/430.99 = 277.52/x
  3. Step 3: Cross multiply
    312.75x = 430.99 × 277.52
  4. Step 4: Simplify right side
    312.75x = 119,605.50
  5. Step 5: Solve for x
    x = 119,605.50/312.75
  6. Step 6: Final answer
    x = 382.43

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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.