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Finding the Fourth Proportional to 395.68, 549.01 and 384.34

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Solution

The fourth proportional to 395.68, 549.01 and 384.34 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 549.01 = 384.34 : x
  2. Step 2: Convert to fraction form
    395.68/549.01 = 384.34/x
  3. Step 3: Cross multiply
    395.68x = 549.01 × 384.34
  4. Step 4: Simplify right side
    395.68x = 211,004.72
  5. Step 5: Solve for x
    x = 211,004.72/395.68
  6. Step 6: Final answer
    x = 533.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.