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Finding the Fourth Proportional to 370.44, 510.84 and 239.22

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Solution

The fourth proportional to 370.44, 510.84 and 239.22 is: 329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.44 : 510.84 = 239.22 : x
  2. Step 2: Convert to fraction form
    370.44/510.84 = 239.22/x
  3. Step 3: Cross multiply
    370.44x = 510.84 × 239.22
  4. Step 4: Simplify right side
    370.44x = 122,203.14
  5. Step 5: Solve for x
    x = 122,203.14/370.44
  6. Step 6: Final answer
    x = 329.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.