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Finding the Fourth Proportional to 203.60, 303.10 and 202.40

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Solution

The fourth proportional to 203.60, 303.10 and 202.40 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 303.10 = 202.40 : x
  2. Step 2: Convert to fraction form
    203.60/303.10 = 202.40/x
  3. Step 3: Cross multiply
    203.60x = 303.10 × 202.40
  4. Step 4: Simplify right side
    203.60x = 61,347.44
  5. Step 5: Solve for x
    x = 61,347.44/203.60
  6. Step 6: Final answer
    x = 301.31

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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.