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Finding the Fourth Proportional to 263.43, 362.45 and 257.30

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Solution

The fourth proportional to 263.43, 362.45 and 257.30 is: 354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.43 : 362.45 = 257.30 : x
  2. Step 2: Convert to fraction form
    263.43/362.45 = 257.30/x
  3. Step 3: Cross multiply
    263.43x = 362.45 × 257.30
  4. Step 4: Simplify right side
    263.43x = 93,255.29
  5. Step 5: Solve for x
    x = 93,255.29/263.43
  6. Step 6: Final answer
    x = 354.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.