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Finding the Fourth Proportional to 263.37, 392.45 and 258.78

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Solution

The fourth proportional to 263.37, 392.45 and 258.78 is: 385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.37 : 392.45 = 258.78 : x
  2. Step 2: Convert to fraction form
    263.37/392.45 = 258.78/x
  3. Step 3: Cross multiply
    263.37x = 392.45 × 258.78
  4. Step 4: Simplify right side
    263.37x = 101,558.21
  5. Step 5: Solve for x
    x = 101,558.21/263.37
  6. Step 6: Final answer
    x = 385.61

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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.