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Finding the Fourth Proportional to 384.93, 528.08 and 378.45

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Solution

The fourth proportional to 384.93, 528.08 and 378.45 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 528.08 = 378.45 : x
  2. Step 2: Convert to fraction form
    384.93/528.08 = 378.45/x
  3. Step 3: Cross multiply
    384.93x = 528.08 × 378.45
  4. Step 4: Simplify right side
    384.93x = 199,849.98
  5. Step 5: Solve for x
    x = 199,849.98/384.93
  6. Step 6: Final answer
    x = 519.19

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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.