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Finding the Fourth Proportional to 384.67, 528.89 and 345.05

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Solution

The fourth proportional to 384.67, 528.89 and 345.05 is: 474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.67 : 528.89 = 345.05 : x
  2. Step 2: Convert to fraction form
    384.67/528.89 = 345.05/x
  3. Step 3: Cross multiply
    384.67x = 528.89 × 345.05
  4. Step 4: Simplify right side
    384.67x = 182,493.49
  5. Step 5: Solve for x
    x = 182,493.49/384.67
  6. Step 6: Final answer
    x = 474.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.