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Finding the Fourth Proportional to 263.42, 361.16 and 258.83

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Solution

The fourth proportional to 263.42, 361.16 and 258.83 is: 354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 361.16 = 258.83 : x
  2. Step 2: Convert to fraction form
    263.42/361.16 = 258.83/x
  3. Step 3: Cross multiply
    263.42x = 361.16 × 258.83
  4. Step 4: Simplify right side
    263.42x = 93,478.27
  5. Step 5: Solve for x
    x = 93,478.27/263.42
  6. Step 6: Final answer
    x = 354.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.