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Finding the Fourth Proportional to 385.83, 576.62 and 281.93

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Solution

The fourth proportional to 385.83, 576.62 and 281.93 is: 421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.83 : 576.62 = 281.93 : x
  2. Step 2: Convert to fraction form
    385.83/576.62 = 281.93/x
  3. Step 3: Cross multiply
    385.83x = 576.62 × 281.93
  4. Step 4: Simplify right side
    385.83x = 162,566.46
  5. Step 5: Solve for x
    x = 162,566.46/385.83
  6. Step 6: Final answer
    x = 421.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.