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Finding the Fourth Proportional to 284.04, 427.55 and 216.41

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Solution

The fourth proportional to 284.04, 427.55 and 216.41 is: 325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 427.55 = 216.41 : x
  2. Step 2: Convert to fraction form
    284.04/427.55 = 216.41/x
  3. Step 3: Cross multiply
    284.04x = 427.55 × 216.41
  4. Step 4: Simplify right side
    284.04x = 92,522.88
  5. Step 5: Solve for x
    x = 92,522.88/284.04
  6. Step 6: Final answer
    x = 325.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.