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Finding the Fourth Proportional to 540.08, 809.54 and 355.10

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Solution

The fourth proportional to 540.08, 809.54 and 355.10 is: 532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.08 : 809.54 = 355.10 : x
  2. Step 2: Convert to fraction form
    540.08/809.54 = 355.10/x
  3. Step 3: Cross multiply
    540.08x = 809.54 × 355.10
  4. Step 4: Simplify right side
    540.08x = 287,461.83
  5. Step 5: Solve for x
    x = 287,461.83/540.08
  6. Step 6: Final answer
    x = 532.26

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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.