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Finding the Fourth Proportional to 313.41, 469.47 and 204.66

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Solution

The fourth proportional to 313.41, 469.47 and 204.66 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 469.47 = 204.66 : x
  2. Step 2: Convert to fraction form
    313.41/469.47 = 204.66/x
  3. Step 3: Cross multiply
    313.41x = 469.47 × 204.66
  4. Step 4: Simplify right side
    313.41x = 96,081.73
  5. Step 5: Solve for x
    x = 96,081.73/313.41
  6. Step 6: Final answer
    x = 306.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.