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Finding the Fourth Proportional to 222.40, 306.93 and 170.02

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Solution

The fourth proportional to 222.40, 306.93 and 170.02 is: 234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 306.93 = 170.02 : x
  2. Step 2: Convert to fraction form
    222.40/306.93 = 170.02/x
  3. Step 3: Cross multiply
    222.40x = 306.93 × 170.02
  4. Step 4: Simplify right side
    222.40x = 52,184.24
  5. Step 5: Solve for x
    x = 52,184.24/222.40
  6. Step 6: Final answer
    x = 234.64

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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.