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Finding the Fourth Proportional to 386, 578.90 and 112.02

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Solution

The fourth proportional to 386, 578.90 and 112.02 is: 168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 578.90 = 112.02 : x
  2. Step 2: Convert to fraction form
    386/578.90 = 112.02/x
  3. Step 3: Cross multiply
    386x = 578.90 × 112.02
  4. Step 4: Simplify right side
    386x = 64,848.38
  5. Step 5: Solve for x
    x = 64,848.38/386
  6. Step 6: Final answer
    x = 168.00

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