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Finding the Fourth Proportional to 310.20, 461.67 and 295.80

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Solution

The fourth proportional to 310.20, 461.67 and 295.80 is: 440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 461.67 = 295.80 : x
  2. Step 2: Convert to fraction form
    310.20/461.67 = 295.80/x
  3. Step 3: Cross multiply
    310.20x = 461.67 × 295.80
  4. Step 4: Simplify right side
    310.20x = 136,561.99
  5. Step 5: Solve for x
    x = 136,561.99/310.20
  6. Step 6: Final answer
    x = 440.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.