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Finding the Fourth Proportional to 152.72, 209.30 and 150.48

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Solution

The fourth proportional to 152.72, 209.30 and 150.48 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 209.30 = 150.48 : x
  2. Step 2: Convert to fraction form
    152.72/209.30 = 150.48/x
  3. Step 3: Cross multiply
    152.72x = 209.30 × 150.48
  4. Step 4: Simplify right side
    152.72x = 31,495.46
  5. Step 5: Solve for x
    x = 31,495.46/152.72
  6. Step 6: Final answer
    x = 206.23

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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.