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Finding the Fourth Proportional to 386.54, 529.42 and 364.10

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Solution

The fourth proportional to 386.54, 529.42 and 364.10 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.54 : 529.42 = 364.10 : x
  2. Step 2: Convert to fraction form
    386.54/529.42 = 364.10/x
  3. Step 3: Cross multiply
    386.54x = 529.42 × 364.10
  4. Step 4: Simplify right side
    386.54x = 192,761.82
  5. Step 5: Solve for x
    x = 192,761.82/386.54
  6. Step 6: Final answer
    x = 498.69

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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.