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Finding the Fourth Proportional to 289.28, 431.49 and 265.70

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Solution

The fourth proportional to 289.28, 431.49 and 265.70 is: 396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.28 : 431.49 = 265.70 : x
  2. Step 2: Convert to fraction form
    289.28/431.49 = 265.70/x
  3. Step 3: Cross multiply
    289.28x = 431.49 × 265.70
  4. Step 4: Simplify right side
    289.28x = 114,646.89
  5. Step 5: Solve for x
    x = 114,646.89/289.28
  6. Step 6: Final answer
    x = 396.32

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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.