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Finding the Fourth Proportional to 386.61, 533.52 and 209.57

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Solution

The fourth proportional to 386.61, 533.52 and 209.57 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.61 : 533.52 = 209.57 : x
  2. Step 2: Convert to fraction form
    386.61/533.52 = 209.57/x
  3. Step 3: Cross multiply
    386.61x = 533.52 × 209.57
  4. Step 4: Simplify right side
    386.61x = 111,810.51
  5. Step 5: Solve for x
    x = 111,810.51/386.61
  6. Step 6: Final answer
    x = 289.20

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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.