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Finding the Fourth Proportional to 263.53, 394.08 and 257.05

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Solution

The fourth proportional to 263.53, 394.08 and 257.05 is: 384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.53 : 394.08 = 257.05 : x
  2. Step 2: Convert to fraction form
    263.53/394.08 = 257.05/x
  3. Step 3: Cross multiply
    263.53x = 394.08 × 257.05
  4. Step 4: Simplify right side
    263.53x = 101,298.26
  5. Step 5: Solve for x
    x = 101,298.26/263.53
  6. Step 6: Final answer
    x = 384.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.