Home / 210.20-314.95-149.22

Finding the Fourth Proportional to 210.20, 314.95 and 149.22

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Solution

The fourth proportional to 210.20, 314.95 and 149.22 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 314.95 = 149.22 : x
  2. Step 2: Convert to fraction form
    210.20/314.95 = 149.22/x
  3. Step 3: Cross multiply
    210.20x = 314.95 × 149.22
  4. Step 4: Simplify right side
    210.20x = 46,996.84
  5. Step 5: Solve for x
    x = 46,996.84/210.20
  6. Step 6: Final answer
    x = 223.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.