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Finding the Fourth Proportional to 406.24, 560.80 and 266.56

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Solution

The fourth proportional to 406.24, 560.80 and 266.56 is: 367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 560.80 = 266.56 : x
  2. Step 2: Convert to fraction form
    406.24/560.80 = 266.56/x
  3. Step 3: Cross multiply
    406.24x = 560.80 × 266.56
  4. Step 4: Simplify right side
    406.24x = 149,486.85
  5. Step 5: Solve for x
    x = 149,486.85/406.24
  6. Step 6: Final answer
    x = 367.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.