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Finding the Fourth Proportional to 289.48, 431.89 and 286.42

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Solution

The fourth proportional to 289.48, 431.89 and 286.42 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 431.89 = 286.42 : x
  2. Step 2: Convert to fraction form
    289.48/431.89 = 286.42/x
  3. Step 3: Cross multiply
    289.48x = 431.89 × 286.42
  4. Step 4: Simplify right side
    289.48x = 123,701.93
  5. Step 5: Solve for x
    x = 123,701.93/289.48
  6. Step 6: Final answer
    x = 427.32

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Why These Related Problems?

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