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Finding the Fourth Proportional to 284.06, 393.13 and 277.25

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Solution

The fourth proportional to 284.06, 393.13 and 277.25 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 393.13 = 277.25 : x
  2. Step 2: Convert to fraction form
    284.06/393.13 = 277.25/x
  3. Step 3: Cross multiply
    284.06x = 393.13 × 277.25
  4. Step 4: Simplify right side
    284.06x = 108,993.33
  5. Step 5: Solve for x
    x = 108,993.33/284.06
  6. Step 6: Final answer
    x = 383.70

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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.