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Finding the Fourth Proportional to 152.49, 210.48 and 149.43

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Solution

The fourth proportional to 152.49, 210.48 and 149.43 is: 206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 210.48 = 149.43 : x
  2. Step 2: Convert to fraction form
    152.49/210.48 = 149.43/x
  3. Step 3: Cross multiply
    152.49x = 210.48 × 149.43
  4. Step 4: Simplify right side
    152.49x = 31,452.03
  5. Step 5: Solve for x
    x = 31,452.03/152.49
  6. Step 6: Final answer
    x = 206.26

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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.