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Finding the Fourth Proportional to 364.89, 546.39 and 278.31

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Solution

The fourth proportional to 364.89, 546.39 and 278.31 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.89 : 546.39 = 278.31 : x
  2. Step 2: Convert to fraction form
    364.89/546.39 = 278.31/x
  3. Step 3: Cross multiply
    364.89x = 546.39 × 278.31
  4. Step 4: Simplify right side
    364.89x = 152,065.80
  5. Step 5: Solve for x
    x = 152,065.80/364.89
  6. Step 6: Final answer
    x = 416.74

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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.