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Finding the Fourth Proportional to 284.61, 424.49 and 241.56

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Solution

The fourth proportional to 284.61, 424.49 and 241.56 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 424.49 = 241.56 : x
  2. Step 2: Convert to fraction form
    284.61/424.49 = 241.56/x
  3. Step 3: Cross multiply
    284.61x = 424.49 × 241.56
  4. Step 4: Simplify right side
    284.61x = 102,538.60
  5. Step 5: Solve for x
    x = 102,538.60/284.61
  6. Step 6: Final answer
    x = 360.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.