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Finding the Fourth Proportional to 270.02, 370.20 and 257.27

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Solution

The fourth proportional to 270.02, 370.20 and 257.27 is: 352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 370.20 = 257.27 : x
  2. Step 2: Convert to fraction form
    270.02/370.20 = 257.27/x
  3. Step 3: Cross multiply
    270.02x = 370.20 × 257.27
  4. Step 4: Simplify right side
    270.02x = 95,239.50
  5. Step 5: Solve for x
    x = 95,239.50/270.02
  6. Step 6: Final answer
    x = 352.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.