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Finding the Fourth Proportional to 384.95, 577.43 and 96.38

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Solution

The fourth proportional to 384.95, 577.43 and 96.38 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.95 : 577.43 = 96.38 : x
  2. Step 2: Convert to fraction form
    384.95/577.43 = 96.38/x
  3. Step 3: Cross multiply
    384.95x = 577.43 × 96.38
  4. Step 4: Simplify right side
    384.95x = 55,649.33
  5. Step 5: Solve for x
    x = 55,649.33/384.95
  6. Step 6: Final answer
    x = 144.56

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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.