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Finding the Fourth Proportional to 339.89, 509.18 and 278.52

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Solution

The fourth proportional to 339.89, 509.18 and 278.52 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.89 : 509.18 = 278.52 : x
  2. Step 2: Convert to fraction form
    339.89/509.18 = 278.52/x
  3. Step 3: Cross multiply
    339.89x = 509.18 × 278.52
  4. Step 4: Simplify right side
    339.89x = 141,815.42
  5. Step 5: Solve for x
    x = 141,815.42/339.89
  6. Step 6: Final answer
    x = 417.25

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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.