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Finding the Fourth Proportional to 386.16, 534.36 and 334.32

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Solution

The fourth proportional to 386.16, 534.36 and 334.32 is: 462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.16 : 534.36 = 334.32 : x
  2. Step 2: Convert to fraction form
    386.16/534.36 = 334.32/x
  3. Step 3: Cross multiply
    386.16x = 534.36 × 334.32
  4. Step 4: Simplify right side
    386.16x = 178,647.24
  5. Step 5: Solve for x
    x = 178,647.24/386.16
  6. Step 6: Final answer
    x = 462.62

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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.