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Finding the Fourth Proportional to 265.65, 396.42 and 263.36

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Solution

The fourth proportional to 265.65, 396.42 and 263.36 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 396.42 = 263.36 : x
  2. Step 2: Convert to fraction form
    265.65/396.42 = 263.36/x
  3. Step 3: Cross multiply
    265.65x = 396.42 × 263.36
  4. Step 4: Simplify right side
    265.65x = 104,399.19
  5. Step 5: Solve for x
    x = 104,399.19/265.65
  6. Step 6: Final answer
    x = 393.00

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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.