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Finding the Fourth Proportional to 370.83, 555.74 and 279.42

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Solution

The fourth proportional to 370.83, 555.74 and 279.42 is: 418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.83 : 555.74 = 279.42 : x
  2. Step 2: Convert to fraction form
    370.83/555.74 = 279.42/x
  3. Step 3: Cross multiply
    370.83x = 555.74 × 279.42
  4. Step 4: Simplify right side
    370.83x = 155,284.87
  5. Step 5: Solve for x
    x = 155,284.87/370.83
  6. Step 6: Final answer
    x = 418.75

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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.