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Finding the Fourth Proportional to 265.63, 396.85 and 260.50

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Solution

The fourth proportional to 265.63, 396.85 and 260.50 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.63 : 396.85 = 260.50 : x
  2. Step 2: Convert to fraction form
    265.63/396.85 = 260.50/x
  3. Step 3: Cross multiply
    265.63x = 396.85 × 260.50
  4. Step 4: Simplify right side
    265.63x = 103,380.69
  5. Step 5: Solve for x
    x = 103,380.69/265.63
  6. Step 6: Final answer
    x = 389.19

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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.