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Finding the Fourth Proportional to 385.55, 528.06 and 363.10

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Solution

The fourth proportional to 385.55, 528.06 and 363.10 is: 497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.55 : 528.06 = 363.10 : x
  2. Step 2: Convert to fraction form
    385.55/528.06 = 363.10/x
  3. Step 3: Cross multiply
    385.55x = 528.06 × 363.10
  4. Step 4: Simplify right side
    385.55x = 191,738.59
  5. Step 5: Solve for x
    x = 191,738.59/385.55
  6. Step 6: Final answer
    x = 497.31

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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.