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Finding the Fourth Proportional to 384.94, 577.42 and 96.38

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Solution

The fourth proportional to 384.94, 577.42 and 96.38 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 577.42 = 96.38 : x
  2. Step 2: Convert to fraction form
    384.94/577.42 = 96.38/x
  3. Step 3: Cross multiply
    384.94x = 577.42 × 96.38
  4. Step 4: Simplify right side
    384.94x = 55,648.61
  5. Step 5: Solve for x
    x = 55,648.61/384.94
  6. Step 6: Final answer
    x = 144.57

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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.