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Finding the Fourth Proportional to 429.14, 643.33 and 155.04

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Solution

The fourth proportional to 429.14, 643.33 and 155.04 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 643.33 = 155.04 : x
  2. Step 2: Convert to fraction form
    429.14/643.33 = 155.04/x
  3. Step 3: Cross multiply
    429.14x = 643.33 × 155.04
  4. Step 4: Simplify right side
    429.14x = 99,741.26
  5. Step 5: Solve for x
    x = 99,741.26/429.14
  6. Step 6: Final answer
    x = 232.42

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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.