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Finding the Fourth Proportional to 222.07, 334.74 and 210.31

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Solution

The fourth proportional to 222.07, 334.74 and 210.31 is: 317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.07 : 334.74 = 210.31 : x
  2. Step 2: Convert to fraction form
    222.07/334.74 = 210.31/x
  3. Step 3: Cross multiply
    222.07x = 334.74 × 210.31
  4. Step 4: Simplify right side
    222.07x = 70,399.17
  5. Step 5: Solve for x
    x = 70,399.17/222.07
  6. Step 6: Final answer
    x = 317.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.