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Finding the Fourth Proportional to 385.94, 579.02 and 112.03

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Solution

The fourth proportional to 385.94, 579.02 and 112.03 is: 168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 579.02 = 112.03 : x
  2. Step 2: Convert to fraction form
    385.94/579.02 = 112.03/x
  3. Step 3: Cross multiply
    385.94x = 579.02 × 112.03
  4. Step 4: Simplify right side
    385.94x = 64,869.81
  5. Step 5: Solve for x
    x = 64,869.81/385.94
  6. Step 6: Final answer
    x = 168.08

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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.