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Finding the Fourth Proportional to 152.10, 210.84 and 149.10

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Solution

The fourth proportional to 152.10, 210.84 and 149.10 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 210.84 = 149.10 : x
  2. Step 2: Convert to fraction form
    152.10/210.84 = 149.10/x
  3. Step 3: Cross multiply
    152.10x = 210.84 × 149.10
  4. Step 4: Simplify right side
    152.10x = 31,436.24
  5. Step 5: Solve for x
    x = 31,436.24/152.10
  6. Step 6: Final answer
    x = 206.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.