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Finding the Fourth Proportional to 284.93, 393.19 and 202.06

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Solution

The fourth proportional to 284.93, 393.19 and 202.06 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.93 : 393.19 = 202.06 : x
  2. Step 2: Convert to fraction form
    284.93/393.19 = 202.06/x
  3. Step 3: Cross multiply
    284.93x = 393.19 × 202.06
  4. Step 4: Simplify right side
    284.93x = 79,447.97
  5. Step 5: Solve for x
    x = 79,447.97/284.93
  6. Step 6: Final answer
    x = 278.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.