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Finding the Fourth Proportional to 370.95, 555.94 and 208.74

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Solution

The fourth proportional to 370.95, 555.94 and 208.74 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.95 : 555.94 = 208.74 : x
  2. Step 2: Convert to fraction form
    370.95/555.94 = 208.74/x
  3. Step 3: Cross multiply
    370.95x = 555.94 × 208.74
  4. Step 4: Simplify right side
    370.95x = 116,046.92
  5. Step 5: Solve for x
    x = 116,046.92/370.95
  6. Step 6: Final answer
    x = 312.84

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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.