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Finding the Fourth Proportional to 429.26, 642.93 and 266.60

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Solution

The fourth proportional to 429.26, 642.93 and 266.60 is: 399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 642.93 = 266.60 : x
  2. Step 2: Convert to fraction form
    429.26/642.93 = 266.60/x
  3. Step 3: Cross multiply
    429.26x = 642.93 × 266.60
  4. Step 4: Simplify right side
    429.26x = 171,405.14
  5. Step 5: Solve for x
    x = 171,405.14/429.26
  6. Step 6: Final answer
    x = 399.30

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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.