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Finding the Fourth Proportional to 386.12, 531.60 and 312.68

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Solution

The fourth proportional to 386.12, 531.60 and 312.68 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 531.60 = 312.68 : x
  2. Step 2: Convert to fraction form
    386.12/531.60 = 312.68/x
  3. Step 3: Cross multiply
    386.12x = 531.60 × 312.68
  4. Step 4: Simplify right side
    386.12x = 166,218.03
  5. Step 5: Solve for x
    x = 166,218.03/386.12
  6. Step 6: Final answer
    x = 430.49

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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.