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Finding the Fourth Proportional to 309.96, 462.54 and 277.56

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Solution

The fourth proportional to 309.96, 462.54 and 277.56 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 462.54 = 277.56 : x
  2. Step 2: Convert to fraction form
    309.96/462.54 = 277.56/x
  3. Step 3: Cross multiply
    309.96x = 462.54 × 277.56
  4. Step 4: Simplify right side
    309.96x = 128,382.60
  5. Step 5: Solve for x
    x = 128,382.60/309.96
  6. Step 6: Final answer
    x = 414.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.