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Finding the Fourth Proportional to 202.80, 304.16 and 99.99

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Solution

The fourth proportional to 202.80, 304.16 and 99.99 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 304.16 = 99.99 : x
  2. Step 2: Convert to fraction form
    202.80/304.16 = 99.99/x
  3. Step 3: Cross multiply
    202.80x = 304.16 × 99.99
  4. Step 4: Simplify right side
    202.80x = 30,412.46
  5. Step 5: Solve for x
    x = 30,412.46/202.80
  6. Step 6: Final answer
    x = 149.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.