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Finding the Fourth Proportional to 384.85, 577.50 and 141.55

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Solution

The fourth proportional to 384.85, 577.50 and 141.55 is: 212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 577.50 = 141.55 : x
  2. Step 2: Convert to fraction form
    384.85/577.50 = 141.55/x
  3. Step 3: Cross multiply
    384.85x = 577.50 × 141.55
  4. Step 4: Simplify right side
    384.85x = 81,744.34
  5. Step 5: Solve for x
    x = 81,744.34/384.85
  6. Step 6: Final answer
    x = 212.41

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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.