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Finding the Fourth Proportional to 289, 433.42 and 106.29

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Solution

The fourth proportional to 289, 433.42 and 106.29 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 433.42 = 106.29 : x
  2. Step 2: Convert to fraction form
    289/433.42 = 106.29/x
  3. Step 3: Cross multiply
    289x = 433.42 × 106.29
  4. Step 4: Simplify right side
    289x = 46,068.21
  5. Step 5: Solve for x
    x = 46,068.21/289
  6. Step 6: Final answer
    x = 159.41

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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.