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Finding the Fourth Proportional to 388.68, 534.10 and 310.92

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Solution

The fourth proportional to 388.68, 534.10 and 310.92 is: 427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 534.10 = 310.92 : x
  2. Step 2: Convert to fraction form
    388.68/534.10 = 310.92/x
  3. Step 3: Cross multiply
    388.68x = 534.10 × 310.92
  4. Step 4: Simplify right side
    388.68x = 166,062.37
  5. Step 5: Solve for x
    x = 166,062.37/388.68
  6. Step 6: Final answer
    x = 427.25

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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.