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Finding the Fourth Proportional to 289.43, 433.74 and 152.42

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Solution

The fourth proportional to 289.43, 433.74 and 152.42 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.43 : 433.74 = 152.42 : x
  2. Step 2: Convert to fraction form
    289.43/433.74 = 152.42/x
  3. Step 3: Cross multiply
    289.43x = 433.74 × 152.42
  4. Step 4: Simplify right side
    289.43x = 66,110.65
  5. Step 5: Solve for x
    x = 66,110.65/289.43
  6. Step 6: Final answer
    x = 228.42

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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.