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Finding the Fourth Proportional to 203.53, 302.86 and 202.85

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Solution

The fourth proportional to 203.53, 302.86 and 202.85 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.53 : 302.86 = 202.85 : x
  2. Step 2: Convert to fraction form
    203.53/302.86 = 202.85/x
  3. Step 3: Cross multiply
    203.53x = 302.86 × 202.85
  4. Step 4: Simplify right side
    203.53x = 61,434.10
  5. Step 5: Solve for x
    x = 61,434.10/203.53
  6. Step 6: Final answer
    x = 301.84

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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.