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Finding the Fourth Proportional to 284.61, 392.55 and 205.94

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Solution

The fourth proportional to 284.61, 392.55 and 205.94 is: 284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 392.55 = 205.94 : x
  2. Step 2: Convert to fraction form
    284.61/392.55 = 205.94/x
  3. Step 3: Cross multiply
    284.61x = 392.55 × 205.94
  4. Step 4: Simplify right side
    284.61x = 80,841.96
  5. Step 5: Solve for x
    x = 80,841.96/284.61
  6. Step 6: Final answer
    x = 284.04

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