Home / 210.12-314.90-107.40

Finding the Fourth Proportional to 210.12, 314.90 and 107.40

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Solution

The fourth proportional to 210.12, 314.90 and 107.40 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.12 : 314.90 = 107.40 : x
  2. Step 2: Convert to fraction form
    210.12/314.90 = 107.40/x
  3. Step 3: Cross multiply
    210.12x = 314.90 × 107.40
  4. Step 4: Simplify right side
    210.12x = 33,820.26
  5. Step 5: Solve for x
    x = 33,820.26/210.12
  6. Step 6: Final answer
    x = 160.96

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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.