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Finding the Fourth Proportional to 313.38, 473.49 and 310.41

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Solution

The fourth proportional to 313.38, 473.49 and 310.41 is: 469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 473.49 = 310.41 : x
  2. Step 2: Convert to fraction form
    313.38/473.49 = 310.41/x
  3. Step 3: Cross multiply
    313.38x = 473.49 × 310.41
  4. Step 4: Simplify right side
    313.38x = 146,976.03
  5. Step 5: Solve for x
    x = 146,976.03/313.38
  6. Step 6: Final answer
    x = 469.00

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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.