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Finding the Fourth Proportional to 306.79, 421.61 and 292.51

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Solution

The fourth proportional to 306.79, 421.61 and 292.51 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.79 : 421.61 = 292.51 : x
  2. Step 2: Convert to fraction form
    306.79/421.61 = 292.51/x
  3. Step 3: Cross multiply
    306.79x = 421.61 × 292.51
  4. Step 4: Simplify right side
    306.79x = 123,324.21
  5. Step 5: Solve for x
    x = 123,324.21/306.79
  6. Step 6: Final answer
    x = 401.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.