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Finding the Fourth Proportional to 540.29, 807.12 and 353.67

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Solution

The fourth proportional to 540.29, 807.12 and 353.67 is: 528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 807.12 = 353.67 : x
  2. Step 2: Convert to fraction form
    540.29/807.12 = 353.67/x
  3. Step 3: Cross multiply
    540.29x = 807.12 × 353.67
  4. Step 4: Simplify right side
    540.29x = 285,454.13
  5. Step 5: Solve for x
    x = 285,454.13/540.29
  6. Step 6: Final answer
    x = 528.34

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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.