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Finding the Fourth Proportional to 384.99, 577.72 and 141.69

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Solution

The fourth proportional to 384.99, 577.72 and 141.69 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 577.72 = 141.69 : x
  2. Step 2: Convert to fraction form
    384.99/577.72 = 141.69/x
  3. Step 3: Cross multiply
    384.99x = 577.72 × 141.69
  4. Step 4: Simplify right side
    384.99x = 81,855.44
  5. Step 5: Solve for x
    x = 81,855.44/384.99
  6. Step 6: Final answer
    x = 212.62

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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.