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Finding the Fourth Proportional to 386.26, 533.51 and 288.45

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Solution

The fourth proportional to 386.26, 533.51 and 288.45 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 533.51 = 288.45 : x
  2. Step 2: Convert to fraction form
    386.26/533.51 = 288.45/x
  3. Step 3: Cross multiply
    386.26x = 533.51 × 288.45
  4. Step 4: Simplify right side
    386.26x = 153,890.96
  5. Step 5: Solve for x
    x = 153,890.96/386.26
  6. Step 6: Final answer
    x = 398.41

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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.