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Finding the Fourth Proportional to 265.90, 397.46 and 259.42

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Solution

The fourth proportional to 265.90, 397.46 and 259.42 is: 387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 397.46 = 259.42 : x
  2. Step 2: Convert to fraction form
    265.90/397.46 = 259.42/x
  3. Step 3: Cross multiply
    265.90x = 397.46 × 259.42
  4. Step 4: Simplify right side
    265.90x = 103,109.07
  5. Step 5: Solve for x
    x = 103,109.07/265.90
  6. Step 6: Final answer
    x = 387.77

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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.