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Finding the Fourth Proportional to 288.88, 430.41 and 270.26

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Solution

The fourth proportional to 288.88, 430.41 and 270.26 is: 402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.88 : 430.41 = 270.26 : x
  2. Step 2: Convert to fraction form
    288.88/430.41 = 270.26/x
  3. Step 3: Cross multiply
    288.88x = 430.41 × 270.26
  4. Step 4: Simplify right side
    288.88x = 116,321.26
  5. Step 5: Solve for x
    x = 116,321.26/288.88
  6. Step 6: Final answer
    x = 402.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.