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Finding the Fourth Proportional to 333.83, 460.51 and 310.39

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Solution

The fourth proportional to 333.83, 460.51 and 310.39 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.83 : 460.51 = 310.39 : x
  2. Step 2: Convert to fraction form
    333.83/460.51 = 310.39/x
  3. Step 3: Cross multiply
    333.83x = 460.51 × 310.39
  4. Step 4: Simplify right side
    333.83x = 142,937.70
  5. Step 5: Solve for x
    x = 142,937.70/333.83
  6. Step 6: Final answer
    x = 428.18

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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.