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Finding the Fourth Proportional to 427.41, 589.38 and 357.45

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Solution

The fourth proportional to 427.41, 589.38 and 357.45 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.41 : 589.38 = 357.45 : x
  2. Step 2: Convert to fraction form
    427.41/589.38 = 357.45/x
  3. Step 3: Cross multiply
    427.41x = 589.38 × 357.45
  4. Step 4: Simplify right side
    427.41x = 210,676.25
  5. Step 5: Solve for x
    x = 210,676.25/427.41
  6. Step 6: Final answer
    x = 492.92

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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.