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Finding the Fourth Proportional to 364.74, 544.85 and 328.12

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Solution

The fourth proportional to 364.74, 544.85 and 328.12 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.74 : 544.85 = 328.12 : x
  2. Step 2: Convert to fraction form
    364.74/544.85 = 328.12/x
  3. Step 3: Cross multiply
    364.74x = 544.85 × 328.12
  4. Step 4: Simplify right side
    364.74x = 178,774.28
  5. Step 5: Solve for x
    x = 178,774.28/364.74
  6. Step 6: Final answer
    x = 490.15

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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.