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Finding the Fourth Proportional to 385.93, 578.24 and 288.23

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Solution

The fourth proportional to 385.93, 578.24 and 288.23 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 578.24 = 288.23 : x
  2. Step 2: Convert to fraction form
    385.93/578.24 = 288.23/x
  3. Step 3: Cross multiply
    385.93x = 578.24 × 288.23
  4. Step 4: Simplify right side
    385.93x = 166,662.86
  5. Step 5: Solve for x
    x = 166,662.86/385.93
  6. Step 6: Final answer
    x = 431.85

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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.