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Finding the Fourth Proportional to 309.72, 462.77 and 298.96

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Solution

The fourth proportional to 309.72, 462.77 and 298.96 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 462.77 = 298.96 : x
  2. Step 2: Convert to fraction form
    309.72/462.77 = 298.96/x
  3. Step 3: Cross multiply
    309.72x = 462.77 × 298.96
  4. Step 4: Simplify right side
    309.72x = 138,349.72
  5. Step 5: Solve for x
    x = 138,349.72/309.72
  6. Step 6: Final answer
    x = 446.69

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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.