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Finding the Fourth Proportional to 288.77, 433.23 and 83.36

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Solution

The fourth proportional to 288.77, 433.23 and 83.36 is: 125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.77 : 433.23 = 83.36 : x
  2. Step 2: Convert to fraction form
    288.77/433.23 = 83.36/x
  3. Step 3: Cross multiply
    288.77x = 433.23 × 83.36
  4. Step 4: Simplify right side
    288.77x = 36,114.05
  5. Step 5: Solve for x
    x = 36,114.05/288.77
  6. Step 6: Final answer
    x = 125.06

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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.