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Finding the Fourth Proportional to 270.04, 370.16 and 266.28

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Solution

The fourth proportional to 270.04, 370.16 and 266.28 is: 365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.04 : 370.16 = 266.28 : x
  2. Step 2: Convert to fraction form
    270.04/370.16 = 266.28/x
  3. Step 3: Cross multiply
    270.04x = 370.16 × 266.28
  4. Step 4: Simplify right side
    270.04x = 98,566.20
  5. Step 5: Solve for x
    x = 98,566.20/270.04
  6. Step 6: Final answer
    x = 365.01

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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.