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Finding the Fourth Proportional to 386.48, 578.68 and 282.98

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Solution

The fourth proportional to 386.48, 578.68 and 282.98 is: 423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.48 : 578.68 = 282.98 : x
  2. Step 2: Convert to fraction form
    386.48/578.68 = 282.98/x
  3. Step 3: Cross multiply
    386.48x = 578.68 × 282.98
  4. Step 4: Simplify right side
    386.48x = 163,755.61
  5. Step 5: Solve for x
    x = 163,755.61/386.48
  6. Step 6: Final answer
    x = 423.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.