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Finding the Fourth Proportional to 319.36, 440.76 and 232.12

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Solution

The fourth proportional to 319.36, 440.76 and 232.12 is: 320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 440.76 = 232.12 : x
  2. Step 2: Convert to fraction form
    319.36/440.76 = 232.12/x
  3. Step 3: Cross multiply
    319.36x = 440.76 × 232.12
  4. Step 4: Simplify right side
    319.36x = 102,309.21
  5. Step 5: Solve for x
    x = 102,309.21/319.36
  6. Step 6: Final answer
    x = 320.36

Related Problems

Find fourth proportional to 159.68, 220.38 and 116.06
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.