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Finding the Fourth Proportional to 540.45, 810.77 and 266.49

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Solution

The fourth proportional to 540.45, 810.77 and 266.49 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.45 : 810.77 = 266.49 : x
  2. Step 2: Convert to fraction form
    540.45/810.77 = 266.49/x
  3. Step 3: Cross multiply
    540.45x = 810.77 × 266.49
  4. Step 4: Simplify right side
    540.45x = 216,060.76
  5. Step 5: Solve for x
    x = 216,060.76/540.45
  6. Step 6: Final answer
    x = 399.78

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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.