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Finding the Fourth Proportional to 203.32, 302.55 and 189.72

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Solution

The fourth proportional to 203.32, 302.55 and 189.72 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.32 : 302.55 = 189.72 : x
  2. Step 2: Convert to fraction form
    203.32/302.55 = 189.72/x
  3. Step 3: Cross multiply
    203.32x = 302.55 × 189.72
  4. Step 4: Simplify right side
    203.32x = 57,399.79
  5. Step 5: Solve for x
    x = 57,399.79/203.32
  6. Step 6: Final answer
    x = 282.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.