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Finding the Fourth Proportional to 202.16, 302.52 and 189.20

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Solution

The fourth proportional to 202.16, 302.52 and 189.20 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 302.52 = 189.20 : x
  2. Step 2: Convert to fraction form
    202.16/302.52 = 189.20/x
  3. Step 3: Cross multiply
    202.16x = 302.52 × 189.20
  4. Step 4: Simplify right side
    202.16x = 57,236.78
  5. Step 5: Solve for x
    x = 57,236.78/202.16
  6. Step 6: Final answer
    x = 283.13

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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.