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Finding the Fourth Proportional to 333.30, 460.12 and 314.60

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Solution

The fourth proportional to 333.30, 460.12 and 314.60 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.30 : 460.12 = 314.60 : x
  2. Step 2: Convert to fraction form
    333.30/460.12 = 314.60/x
  3. Step 3: Cross multiply
    333.30x = 460.12 × 314.60
  4. Step 4: Simplify right side
    333.30x = 144,753.75
  5. Step 5: Solve for x
    x = 144,753.75/333.30
  6. Step 6: Final answer
    x = 434.30

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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.