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Finding the Fourth Proportional to 540.14, 807.11 and 385.23

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Solution

The fourth proportional to 540.14, 807.11 and 385.23 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 807.11 = 385.23 : x
  2. Step 2: Convert to fraction form
    540.14/807.11 = 385.23/x
  3. Step 3: Cross multiply
    540.14x = 807.11 × 385.23
  4. Step 4: Simplify right side
    540.14x = 310,921.06
  5. Step 5: Solve for x
    x = 310,921.06/540.14
  6. Step 6: Final answer
    x = 575.64

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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.