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Finding the Fourth Proportional to 443.66, 612.69 and 288.50

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Solution

The fourth proportional to 443.66, 612.69 and 288.50 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.66 : 612.69 = 288.50 : x
  2. Step 2: Convert to fraction form
    443.66/612.69 = 288.50/x
  3. Step 3: Cross multiply
    443.66x = 612.69 × 288.50
  4. Step 4: Simplify right side
    443.66x = 176,761.07
  5. Step 5: Solve for x
    x = 176,761.07/443.66
  6. Step 6: Final answer
    x = 398.42

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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.