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Finding the Fourth Proportional to 263.79, 397.06 and 238.64

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Solution

The fourth proportional to 263.79, 397.06 and 238.64 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.79 : 397.06 = 238.64 : x
  2. Step 2: Convert to fraction form
    263.79/397.06 = 238.64/x
  3. Step 3: Cross multiply
    263.79x = 397.06 × 238.64
  4. Step 4: Simplify right side
    263.79x = 94,751.82
  5. Step 5: Solve for x
    x = 94,751.82/263.79
  6. Step 6: Final answer
    x = 359.19

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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.