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Finding the Fourth Proportional to 386.35, 532.70 and 312.43

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Solution

The fourth proportional to 386.35, 532.70 and 312.43 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.35 : 532.70 = 312.43 : x
  2. Step 2: Convert to fraction form
    386.35/532.70 = 312.43/x
  3. Step 3: Cross multiply
    386.35x = 532.70 × 312.43
  4. Step 4: Simplify right side
    386.35x = 166,431.46
  5. Step 5: Solve for x
    x = 166,431.46/386.35
  6. Step 6: Final answer
    x = 430.78

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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.