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Finding the Fourth Proportional to 313.29, 429.64 and 300.15

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Solution

The fourth proportional to 313.29, 429.64 and 300.15 is: 411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 429.64 = 300.15 : x
  2. Step 2: Convert to fraction form
    313.29/429.64 = 300.15/x
  3. Step 3: Cross multiply
    313.29x = 429.64 × 300.15
  4. Step 4: Simplify right side
    313.29x = 128,954.30
  5. Step 5: Solve for x
    x = 128,954.30/313.29
  6. Step 6: Final answer
    x = 411.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.