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Finding the Fourth Proportional to 289.22, 433.90 and 91.55

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Solution

The fourth proportional to 289.22, 433.90 and 91.55 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.22 : 433.90 = 91.55 : x
  2. Step 2: Convert to fraction form
    289.22/433.90 = 91.55/x
  3. Step 3: Cross multiply
    289.22x = 433.90 × 91.55
  4. Step 4: Simplify right side
    289.22x = 39,724.40
  5. Step 5: Solve for x
    x = 39,724.40/289.22
  6. Step 6: Final answer
    x = 137.35

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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.