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Finding the Fourth Proportional to 540.84, 811.56 and 310.20

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Solution

The fourth proportional to 540.84, 811.56 and 310.20 is: 465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 811.56 = 310.20 : x
  2. Step 2: Convert to fraction form
    540.84/811.56 = 310.20/x
  3. Step 3: Cross multiply
    540.84x = 811.56 × 310.20
  4. Step 4: Simplify right side
    540.84x = 251,745.91
  5. Step 5: Solve for x
    x = 251,745.91/540.84
  6. Step 6: Final answer
    x = 465.47

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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.