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Finding the Fourth Proportional to 306.72, 458.13 and 263.51

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Solution

The fourth proportional to 306.72, 458.13 and 263.51 is: 393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 458.13 = 263.51 : x
  2. Step 2: Convert to fraction form
    306.72/458.13 = 263.51/x
  3. Step 3: Cross multiply
    306.72x = 458.13 × 263.51
  4. Step 4: Simplify right side
    306.72x = 120,724.33
  5. Step 5: Solve for x
    x = 120,724.33/306.72
  6. Step 6: Final answer
    x = 393.60

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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.