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Finding the Fourth Proportional to 289.38, 431.66 and 262.02

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Solution

The fourth proportional to 289.38, 431.66 and 262.02 is: 390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 431.66 = 262.02 : x
  2. Step 2: Convert to fraction form
    289.38/431.66 = 262.02/x
  3. Step 3: Cross multiply
    289.38x = 431.66 × 262.02
  4. Step 4: Simplify right side
    289.38x = 113,102.24
  5. Step 5: Solve for x
    x = 113,102.24/289.38
  6. Step 6: Final answer
    x = 390.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.