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Finding the Fourth Proportional to 386.68, 532.74 and 288.22

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Solution

The fourth proportional to 386.68, 532.74 and 288.22 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 532.74 = 288.22 : x
  2. Step 2: Convert to fraction form
    386.68/532.74 = 288.22/x
  3. Step 3: Cross multiply
    386.68x = 532.74 × 288.22
  4. Step 4: Simplify right side
    386.68x = 153,546.32
  5. Step 5: Solve for x
    x = 153,546.32/386.68
  6. Step 6: Final answer
    x = 397.09

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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.