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Finding the Fourth Proportional to 385.08, 579.93 and 289.56

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Solution

The fourth proportional to 385.08, 579.93 and 289.56 is: 436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 579.93 = 289.56 : x
  2. Step 2: Convert to fraction form
    385.08/579.93 = 289.56/x
  3. Step 3: Cross multiply
    385.08x = 579.93 × 289.56
  4. Step 4: Simplify right side
    385.08x = 167,924.53
  5. Step 5: Solve for x
    x = 167,924.53/385.08
  6. Step 6: Final answer
    x = 436.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.