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Finding the Fourth Proportional to 263.20, 392.80 and 257.05

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Solution

The fourth proportional to 263.20, 392.80 and 257.05 is: 383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.20 : 392.80 = 257.05 : x
  2. Step 2: Convert to fraction form
    263.20/392.80 = 257.05/x
  3. Step 3: Cross multiply
    263.20x = 392.80 × 257.05
  4. Step 4: Simplify right side
    263.20x = 100,967.28
  5. Step 5: Solve for x
    x = 100,967.28/263.20
  6. Step 6: Final answer
    x = 383.62

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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.