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Finding the Fourth Proportional to 431.89, 650.36 and 310.99

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Solution

The fourth proportional to 431.89, 650.36 and 310.99 is: 468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.89 : 650.36 = 310.99 : x
  2. Step 2: Convert to fraction form
    431.89/650.36 = 310.99/x
  3. Step 3: Cross multiply
    431.89x = 650.36 × 310.99
  4. Step 4: Simplify right side
    431.89x = 202,255.46
  5. Step 5: Solve for x
    x = 202,255.46/431.89
  6. Step 6: Final answer
    x = 468.30

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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.