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Finding the Fourth Proportional to 310.41, 465.84 and 180.63

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Solution

The fourth proportional to 310.41, 465.84 and 180.63 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 465.84 = 180.63 : x
  2. Step 2: Convert to fraction form
    310.41/465.84 = 180.63/x
  3. Step 3: Cross multiply
    310.41x = 465.84 × 180.63
  4. Step 4: Simplify right side
    310.41x = 84,144.68
  5. Step 5: Solve for x
    x = 84,144.68/310.41
  6. Step 6: Final answer
    x = 271.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.