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Finding the Fourth Proportional to 306.96, 424.19 and 233.15

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Solution

The fourth proportional to 306.96, 424.19 and 233.15 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 424.19 = 233.15 : x
  2. Step 2: Convert to fraction form
    306.96/424.19 = 233.15/x
  3. Step 3: Cross multiply
    306.96x = 424.19 × 233.15
  4. Step 4: Simplify right side
    306.96x = 98,897.05
  5. Step 5: Solve for x
    x = 98,897.05/306.96
  6. Step 6: Final answer
    x = 322.19

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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.