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Finding the Fourth Proportional to 289.34, 433.91 and 94.29

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Solution

The fourth proportional to 289.34, 433.91 and 94.29 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 433.91 = 94.29 : x
  2. Step 2: Convert to fraction form
    289.34/433.91 = 94.29/x
  3. Step 3: Cross multiply
    289.34x = 433.91 × 94.29
  4. Step 4: Simplify right side
    289.34x = 40,914.42
  5. Step 5: Solve for x
    x = 40,914.42/289.34
  6. Step 6: Final answer
    x = 141.40

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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.