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Finding the Fourth Proportional to 284.64, 427.43 and 241.98

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Solution

The fourth proportional to 284.64, 427.43 and 241.98 is: 363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 427.43 = 241.98 : x
  2. Step 2: Convert to fraction form
    284.64/427.43 = 241.98/x
  3. Step 3: Cross multiply
    284.64x = 427.43 × 241.98
  4. Step 4: Simplify right side
    284.64x = 103,429.51
  5. Step 5: Solve for x
    x = 103,429.51/284.64
  6. Step 6: Final answer
    x = 363.37

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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.