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Finding the Fourth Proportional to 385.03, 577.70 and 141.58

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Solution

The fourth proportional to 385.03, 577.70 and 141.58 is: 212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.03 : 577.70 = 141.58 : x
  2. Step 2: Convert to fraction form
    385.03/577.70 = 141.58/x
  3. Step 3: Cross multiply
    385.03x = 577.70 × 141.58
  4. Step 4: Simplify right side
    385.03x = 81,790.77
  5. Step 5: Solve for x
    x = 81,790.77/385.03
  6. Step 6: Final answer
    x = 212.43

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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.