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Finding the Fourth Proportional to 383.09, 528.09 and 278.00

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Solution

The fourth proportional to 383.09, 528.09 and 278.00 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.09 : 528.09 = 278.00 : x
  2. Step 2: Convert to fraction form
    383.09/528.09 = 278.00/x
  3. Step 3: Cross multiply
    383.09x = 528.09 × 278.00
  4. Step 4: Simplify right side
    383.09x = 146,806.38
  5. Step 5: Solve for x
    x = 146,806.38/383.09
  6. Step 6: Final answer
    x = 383.22

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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.