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Finding the Fourth Proportional to 320.84, 484.13 and 309.40

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Solution

The fourth proportional to 320.84, 484.13 and 309.40 is: 466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 484.13 = 309.40 : x
  2. Step 2: Convert to fraction form
    320.84/484.13 = 309.40/x
  3. Step 3: Cross multiply
    320.84x = 484.13 × 309.40
  4. Step 4: Simplify right side
    320.84x = 149,789.39
  5. Step 5: Solve for x
    x = 149,789.39/320.84
  6. Step 6: Final answer
    x = 466.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.