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Finding the Fourth Proportional to 306.81, 458.01 and 263.22

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Solution

The fourth proportional to 306.81, 458.01 and 263.22 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 458.01 = 263.22 : x
  2. Step 2: Convert to fraction form
    306.81/458.01 = 263.22/x
  3. Step 3: Cross multiply
    306.81x = 458.01 × 263.22
  4. Step 4: Simplify right side
    306.81x = 120,557.39
  5. Step 5: Solve for x
    x = 120,557.39/306.81
  6. Step 6: Final answer
    x = 392.94

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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.