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Finding the Fourth Proportional to 270.14, 370.17 and 260.01

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Solution

The fourth proportional to 270.14, 370.17 and 260.01 is: 356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 370.17 = 260.01 : x
  2. Step 2: Convert to fraction form
    270.14/370.17 = 260.01/x
  3. Step 3: Cross multiply
    270.14x = 370.17 × 260.01
  4. Step 4: Simplify right side
    270.14x = 96,247.90
  5. Step 5: Solve for x
    x = 96,247.90/270.14
  6. Step 6: Final answer
    x = 356.30

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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.