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Finding the Fourth Proportional to 308.07, 424.86 and 233.35

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Solution

The fourth proportional to 308.07, 424.86 and 233.35 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 424.86 = 233.35 : x
  2. Step 2: Convert to fraction form
    308.07/424.86 = 233.35/x
  3. Step 3: Cross multiply
    308.07x = 424.86 × 233.35
  4. Step 4: Simplify right side
    308.07x = 99,140.74
  5. Step 5: Solve for x
    x = 99,140.74/308.07
  6. Step 6: Final answer
    x = 321.81

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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.