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Finding the Fourth Proportional to 429.64, 643.74 and 266.92

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Solution

The fourth proportional to 429.64, 643.74 and 266.92 is: 399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 643.74 = 266.92 : x
  2. Step 2: Convert to fraction form
    429.64/643.74 = 266.92/x
  3. Step 3: Cross multiply
    429.64x = 643.74 × 266.92
  4. Step 4: Simplify right side
    429.64x = 171,827.08
  5. Step 5: Solve for x
    x = 171,827.08/429.64
  6. Step 6: Final answer
    x = 399.93

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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.