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Finding the Fourth Proportional to 383, 528.30 and 305.56

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Solution

The fourth proportional to 383, 528.30 and 305.56 is: 421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 528.30 = 305.56 : x
  2. Step 2: Convert to fraction form
    383/528.30 = 305.56/x
  3. Step 3: Cross multiply
    383x = 528.30 × 305.56
  4. Step 4: Simplify right side
    383x = 161,427.35
  5. Step 5: Solve for x
    x = 161,427.35/383
  6. Step 6: Final answer
    x = 421.48

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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.