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Finding the Fourth Proportional to 289.23, 433.75 and 96.81

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Solution

The fourth proportional to 289.23, 433.75 and 96.81 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 433.75 = 96.81 : x
  2. Step 2: Convert to fraction form
    289.23/433.75 = 96.81/x
  3. Step 3: Cross multiply
    289.23x = 433.75 × 96.81
  4. Step 4: Simplify right side
    289.23x = 41,991.34
  5. Step 5: Solve for x
    x = 41,991.34/289.23
  6. Step 6: Final answer
    x = 145.18

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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.