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Finding the Fourth Proportional to 333.42, 499.19 and 278.07

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Solution

The fourth proportional to 333.42, 499.19 and 278.07 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 499.19 = 278.07 : x
  2. Step 2: Convert to fraction form
    333.42/499.19 = 278.07/x
  3. Step 3: Cross multiply
    333.42x = 499.19 × 278.07
  4. Step 4: Simplify right side
    333.42x = 138,808.37
  5. Step 5: Solve for x
    x = 138,808.37/333.42
  6. Step 6: Final answer
    x = 416.32

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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.