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Finding the Fourth Proportional to 406.34, 560.79 and 266.57

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Solution

The fourth proportional to 406.34, 560.79 and 266.57 is: 367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 560.79 = 266.57 : x
  2. Step 2: Convert to fraction form
    406.34/560.79 = 266.57/x
  3. Step 3: Cross multiply
    406.34x = 560.79 × 266.57
  4. Step 4: Simplify right side
    406.34x = 149,486.99
  5. Step 5: Solve for x
    x = 149,486.99/406.34
  6. Step 6: Final answer
    x = 367.89

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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.