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Finding the Fourth Proportional to 364.78, 544.36 and 325.84

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Solution

The fourth proportional to 364.78, 544.36 and 325.84 is: 486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 544.36 = 325.84 : x
  2. Step 2: Convert to fraction form
    364.78/544.36 = 325.84/x
  3. Step 3: Cross multiply
    364.78x = 544.36 × 325.84
  4. Step 4: Simplify right side
    364.78x = 177,374.26
  5. Step 5: Solve for x
    x = 177,374.26/364.78
  6. Step 6: Final answer
    x = 486.25

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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.