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Finding the Fourth Proportional to 441.58, 610.14 and 386.23

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Solution

The fourth proportional to 441.58, 610.14 and 386.23 is: 533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.58 : 610.14 = 386.23 : x
  2. Step 2: Convert to fraction form
    441.58/610.14 = 386.23/x
  3. Step 3: Cross multiply
    441.58x = 610.14 × 386.23
  4. Step 4: Simplify right side
    441.58x = 235,654.37
  5. Step 5: Solve for x
    x = 235,654.37/441.58
  6. Step 6: Final answer
    x = 533.66

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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.