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Finding the Fourth Proportional to 406, 560.46 and 266.32

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Solution

The fourth proportional to 406, 560.46 and 266.32 is: 367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 560.46 = 266.32 : x
  2. Step 2: Convert to fraction form
    406/560.46 = 266.32/x
  3. Step 3: Cross multiply
    406x = 560.46 × 266.32
  4. Step 4: Simplify right side
    406x = 149,261.71
  5. Step 5: Solve for x
    x = 149,261.71/406
  6. Step 6: Final answer
    x = 367.64

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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.