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Finding the Fourth Proportional to 386.64, 532.78 and 275.80

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Solution

The fourth proportional to 386.64, 532.78 and 275.80 is: 380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 532.78 = 275.80 : x
  2. Step 2: Convert to fraction form
    386.64/532.78 = 275.80/x
  3. Step 3: Cross multiply
    386.64x = 532.78 × 275.80
  4. Step 4: Simplify right side
    386.64x = 146,940.72
  5. Step 5: Solve for x
    x = 146,940.72/386.64
  6. Step 6: Final answer
    x = 380.05

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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.