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Finding the Fourth Proportional to 388.96, 536.52 and 311.20

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Solution

The fourth proportional to 388.96, 536.52 and 311.20 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.96 : 536.52 = 311.20 : x
  2. Step 2: Convert to fraction form
    388.96/536.52 = 311.20/x
  3. Step 3: Cross multiply
    388.96x = 536.52 × 311.20
  4. Step 4: Simplify right side
    388.96x = 166,965.02
  5. Step 5: Solve for x
    x = 166,965.02/388.96
  6. Step 6: Final answer
    x = 429.26

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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.