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Finding the Fourth Proportional to 288.56, 432.85 and 83.11

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Solution

The fourth proportional to 288.56, 432.85 and 83.11 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.85 = 83.11 : x
  2. Step 2: Convert to fraction form
    288.56/432.85 = 83.11/x
  3. Step 3: Cross multiply
    288.56x = 432.85 × 83.11
  4. Step 4: Simplify right side
    288.56x = 35,974.16
  5. Step 5: Solve for x
    x = 35,974.16/288.56
  6. Step 6: Final answer
    x = 124.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.