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Finding the Fourth Proportional to 284.96, 393.17 and 174.40

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Solution

The fourth proportional to 284.96, 393.17 and 174.40 is: 240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 393.17 = 174.40 : x
  2. Step 2: Convert to fraction form
    284.96/393.17 = 174.40/x
  3. Step 3: Cross multiply
    284.96x = 393.17 × 174.40
  4. Step 4: Simplify right side
    284.96x = 68,566.99
  5. Step 5: Solve for x
    x = 68,566.99/284.96
  6. Step 6: Final answer
    x = 240.62

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Why These Related Problems?

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