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Finding the Fourth Proportional to 202.10, 303.06 and 124.03

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Solution

The fourth proportional to 202.10, 303.06 and 124.03 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.10 : 303.06 = 124.03 : x
  2. Step 2: Convert to fraction form
    202.10/303.06 = 124.03/x
  3. Step 3: Cross multiply
    202.10x = 303.06 × 124.03
  4. Step 4: Simplify right side
    202.10x = 37,587.02
  5. Step 5: Solve for x
    x = 37,587.02/202.10
  6. Step 6: Final answer
    x = 185.98

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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.