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Finding the Fourth Proportional to 373.95, 563.49 and 310.40

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Solution

The fourth proportional to 373.95, 563.49 and 310.40 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.95 : 563.49 = 310.40 : x
  2. Step 2: Convert to fraction form
    373.95/563.49 = 310.40/x
  3. Step 3: Cross multiply
    373.95x = 563.49 × 310.40
  4. Step 4: Simplify right side
    373.95x = 174,906.59
  5. Step 5: Solve for x
    x = 174,906.59/373.95
  6. Step 6: Final answer
    x = 467.73

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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.