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Finding the Fourth Proportional to 289.70, 436.12 and 265.46

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Solution

The fourth proportional to 289.70, 436.12 and 265.46 is: 399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 436.12 = 265.46 : x
  2. Step 2: Convert to fraction form
    289.70/436.12 = 265.46/x
  3. Step 3: Cross multiply
    289.70x = 436.12 × 265.46
  4. Step 4: Simplify right side
    289.70x = 115,772.42
  5. Step 5: Solve for x
    x = 115,772.42/289.70
  6. Step 6: Final answer
    x = 399.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.