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Finding the Fourth Proportional to 355.23, 534.93 and 310.11

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Solution

The fourth proportional to 355.23, 534.93 and 310.11 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 534.93 = 310.11 : x
  2. Step 2: Convert to fraction form
    355.23/534.93 = 310.11/x
  3. Step 3: Cross multiply
    355.23x = 534.93 × 310.11
  4. Step 4: Simplify right side
    355.23x = 165,887.14
  5. Step 5: Solve for x
    x = 165,887.14/355.23
  6. Step 6: Final answer
    x = 466.99

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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.