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Finding the Fourth Proportional to 386.68, 531.35 and 308.92

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Solution

The fourth proportional to 386.68, 531.35 and 308.92 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 531.35 = 308.92 : x
  2. Step 2: Convert to fraction form
    386.68/531.35 = 308.92/x
  3. Step 3: Cross multiply
    386.68x = 531.35 × 308.92
  4. Step 4: Simplify right side
    386.68x = 164,144.64
  5. Step 5: Solve for x
    x = 164,144.64/386.68
  6. Step 6: Final answer
    x = 424.50

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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.