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Finding the Fourth Proportional to 257.80, 348.30 and 257.80

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Solution

The fourth proportional to 257.80, 348.30 and 257.80 is: 348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 348.30 = 257.80 : x
  2. Step 2: Convert to fraction form
    257.80/348.30 = 257.80/x
  3. Step 3: Cross multiply
    257.80x = 348.30 × 257.80
  4. Step 4: Simplify right side
    257.80x = 89,791.74
  5. Step 5: Solve for x
    x = 89,791.74/257.80
  6. Step 6: Final answer
    x = 348.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.