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Finding the Fourth Proportional to 263.30, 362.62 and 257.63

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Solution

The fourth proportional to 263.30, 362.62 and 257.63 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 362.62 = 257.63 : x
  2. Step 2: Convert to fraction form
    263.30/362.62 = 257.63/x
  3. Step 3: Cross multiply
    263.30x = 362.62 × 257.63
  4. Step 4: Simplify right side
    263.30x = 93,421.79
  5. Step 5: Solve for x
    x = 93,421.79/263.30
  6. Step 6: Final answer
    x = 354.81

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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.