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Finding the Fourth Proportional to 339.72, 509.58 and 278.22

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Solution

The fourth proportional to 339.72, 509.58 and 278.22 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 509.58 = 278.22 : x
  2. Step 2: Convert to fraction form
    339.72/509.58 = 278.22/x
  3. Step 3: Cross multiply
    339.72x = 509.58 × 278.22
  4. Step 4: Simplify right side
    339.72x = 141,775.35
  5. Step 5: Solve for x
    x = 141,775.35/339.72
  6. Step 6: Final answer
    x = 417.33

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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.