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Finding the Fourth Proportional to 351.23, 528.91 and 306.11

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Solution

The fourth proportional to 351.23, 528.91 and 306.11 is: 460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.23 : 528.91 = 306.11 : x
  2. Step 2: Convert to fraction form
    351.23/528.91 = 306.11/x
  3. Step 3: Cross multiply
    351.23x = 528.91 × 306.11
  4. Step 4: Simplify right side
    351.23x = 161,900.47
  5. Step 5: Solve for x
    x = 161,900.47/351.23
  6. Step 6: Final answer
    x = 460.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.