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Finding the Fourth Proportional to 339.64, 507.14 and 278.88

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Solution

The fourth proportional to 339.64, 507.14 and 278.88 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.64 : 507.14 = 278.88 : x
  2. Step 2: Convert to fraction form
    339.64/507.14 = 278.88/x
  3. Step 3: Cross multiply
    339.64x = 507.14 × 278.88
  4. Step 4: Simplify right side
    339.64x = 141,431.20
  5. Step 5: Solve for x
    x = 141,431.20/339.64
  6. Step 6: Final answer
    x = 416.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.