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Finding the Fourth Proportional to 540.47, 809.25 and 309.16

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Solution

The fourth proportional to 540.47, 809.25 and 309.16 is: 462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 809.25 = 309.16 : x
  2. Step 2: Convert to fraction form
    540.47/809.25 = 309.16/x
  3. Step 3: Cross multiply
    540.47x = 809.25 × 309.16
  4. Step 4: Simplify right side
    540.47x = 250,185.71
  5. Step 5: Solve for x
    x = 250,185.71/540.47
  6. Step 6: Final answer
    x = 462.91

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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.