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Finding the Fourth Proportional to 239.70, 330.57 and 152.22

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Solution

The fourth proportional to 239.70, 330.57 and 152.22 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.70 : 330.57 = 152.22 : x
  2. Step 2: Convert to fraction form
    239.70/330.57 = 152.22/x
  3. Step 3: Cross multiply
    239.70x = 330.57 × 152.22
  4. Step 4: Simplify right side
    239.70x = 50,319.37
  5. Step 5: Solve for x
    x = 50,319.37/239.70
  6. Step 6: Final answer
    x = 209.93

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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.