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Finding the Fourth Proportional to 388.27, 534.94 and 357.27

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Solution

The fourth proportional to 388.27, 534.94 and 357.27 is: 492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.27 : 534.94 = 357.27 : x
  2. Step 2: Convert to fraction form
    388.27/534.94 = 357.27/x
  3. Step 3: Cross multiply
    388.27x = 534.94 × 357.27
  4. Step 4: Simplify right side
    388.27x = 191,118.01
  5. Step 5: Solve for x
    x = 191,118.01/388.27
  6. Step 6: Final answer
    x = 492.23

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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.