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Finding the Fourth Proportional to 263.25, 364.77 and 257.58

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Solution

The fourth proportional to 263.25, 364.77 and 257.58 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.25 : 364.77 = 257.58 : x
  2. Step 2: Convert to fraction form
    263.25/364.77 = 257.58/x
  3. Step 3: Cross multiply
    263.25x = 364.77 × 257.58
  4. Step 4: Simplify right side
    263.25x = 93,957.46
  5. Step 5: Solve for x
    x = 93,957.46/263.25
  6. Step 6: Final answer
    x = 356.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.