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Finding the Fourth Proportional to 384.88, 577.15 and 199.70

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Solution

The fourth proportional to 384.88, 577.15 and 199.70 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.88 : 577.15 = 199.70 : x
  2. Step 2: Convert to fraction form
    384.88/577.15 = 199.70/x
  3. Step 3: Cross multiply
    384.88x = 577.15 × 199.70
  4. Step 4: Simplify right side
    384.88x = 115,258.63
  5. Step 5: Solve for x
    x = 115,258.63/384.88
  6. Step 6: Final answer
    x = 299.47

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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.