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Finding the Fourth Proportional to 387.27, 533.70 and 308.34

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Solution

The fourth proportional to 387.27, 533.70 and 308.34 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.27 : 533.70 = 308.34 : x
  2. Step 2: Convert to fraction form
    387.27/533.70 = 308.34/x
  3. Step 3: Cross multiply
    387.27x = 533.70 × 308.34
  4. Step 4: Simplify right side
    387.27x = 164,561.06
  5. Step 5: Solve for x
    x = 164,561.06/387.27
  6. Step 6: Final answer
    x = 424.93

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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.