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Finding the Fourth Proportional to 152.97, 209.94 and 148.92

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Solution

The fourth proportional to 152.97, 209.94 and 148.92 is: 204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.97 : 209.94 = 148.92 : x
  2. Step 2: Convert to fraction form
    152.97/209.94 = 148.92/x
  3. Step 3: Cross multiply
    152.97x = 209.94 × 148.92
  4. Step 4: Simplify right side
    152.97x = 31,264.26
  5. Step 5: Solve for x
    x = 31,264.26/152.97
  6. Step 6: Final answer
    x = 204.38

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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.