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Finding the Fourth Proportional to 265.74, 399.15 and 259.26

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Solution

The fourth proportional to 265.74, 399.15 and 259.26 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 399.15 = 259.26 : x
  2. Step 2: Convert to fraction form
    265.74/399.15 = 259.26/x
  3. Step 3: Cross multiply
    265.74x = 399.15 × 259.26
  4. Step 4: Simplify right side
    265.74x = 103,483.63
  5. Step 5: Solve for x
    x = 103,483.63/265.74
  6. Step 6: Final answer
    x = 389.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.