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Finding the Fourth Proportional to 313.94, 469.11 and 239.41

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Solution

The fourth proportional to 313.94, 469.11 and 239.41 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 469.11 = 239.41 : x
  2. Step 2: Convert to fraction form
    313.94/469.11 = 239.41/x
  3. Step 3: Cross multiply
    313.94x = 469.11 × 239.41
  4. Step 4: Simplify right side
    313.94x = 112,309.12
  5. Step 5: Solve for x
    x = 112,309.12/313.94
  6. Step 6: Final answer
    x = 357.74

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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.