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Finding the Fourth Proportional to 355.23, 534.94 and 310.12

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Solution

The fourth proportional to 355.23, 534.94 and 310.12 is: 467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 534.94 = 310.12 : x
  2. Step 2: Convert to fraction form
    355.23/534.94 = 310.12/x
  3. Step 3: Cross multiply
    355.23x = 534.94 × 310.12
  4. Step 4: Simplify right side
    355.23x = 165,893.48
  5. Step 5: Solve for x
    x = 165,893.48/355.23
  6. Step 6: Final answer
    x = 467.00

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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.