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Finding the Fourth Proportional to 384.45, 579.89 and 361.99

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Solution

The fourth proportional to 384.45, 579.89 and 361.99 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 579.89 = 361.99 : x
  2. Step 2: Convert to fraction form
    384.45/579.89 = 361.99/x
  3. Step 3: Cross multiply
    384.45x = 579.89 × 361.99
  4. Step 4: Simplify right side
    384.45x = 209,914.38
  5. Step 5: Solve for x
    x = 209,914.38/384.45
  6. Step 6: Final answer
    x = 546.01

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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.