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Finding the Fourth Proportional to 443.30, 612.14 and 277.80

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Solution

The fourth proportional to 443.30, 612.14 and 277.80 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 612.14 = 277.80 : x
  2. Step 2: Convert to fraction form
    443.30/612.14 = 277.80/x
  3. Step 3: Cross multiply
    443.30x = 612.14 × 277.80
  4. Step 4: Simplify right side
    443.30x = 170,053.71
  5. Step 5: Solve for x
    x = 170,053.71/443.30
  6. Step 6: Final answer
    x = 383.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.