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Finding the Fourth Proportional to 442.20, 611.56 and 386.84

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Solution

The fourth proportional to 442.20, 611.56 and 386.84 is: 535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 611.56 = 386.84 : x
  2. Step 2: Convert to fraction form
    442.20/611.56 = 386.84/x
  3. Step 3: Cross multiply
    442.20x = 611.56 × 386.84
  4. Step 4: Simplify right side
    442.20x = 236,572.41
  5. Step 5: Solve for x
    x = 236,572.41/442.20
  6. Step 6: Final answer
    x = 535.00

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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.