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Finding the Fourth Proportional to 309.35, 460.49 and 304.74

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Solution

The fourth proportional to 309.35, 460.49 and 304.74 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.35 : 460.49 = 304.74 : x
  2. Step 2: Convert to fraction form
    309.35/460.49 = 304.74/x
  3. Step 3: Cross multiply
    309.35x = 460.49 × 304.74
  4. Step 4: Simplify right side
    309.35x = 140,327.42
  5. Step 5: Solve for x
    x = 140,327.42/309.35
  6. Step 6: Final answer
    x = 453.62

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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.