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Finding the Fourth Proportional to 310.09, 462.11 and 300.70

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Solution

The fourth proportional to 310.09, 462.11 and 300.70 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.09 : 462.11 = 300.70 : x
  2. Step 2: Convert to fraction form
    310.09/462.11 = 300.70/x
  3. Step 3: Cross multiply
    310.09x = 462.11 × 300.70
  4. Step 4: Simplify right side
    310.09x = 138,957.81
  5. Step 5: Solve for x
    x = 138,957.81/310.09
  6. Step 6: Final answer
    x = 448.12

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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.