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Finding the Fourth Proportional to 364.51, 549.22 and 325.21

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Solution

The fourth proportional to 364.51, 549.22 and 325.21 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.51 : 549.22 = 325.21 : x
  2. Step 2: Convert to fraction form
    364.51/549.22 = 325.21/x
  3. Step 3: Cross multiply
    364.51x = 549.22 × 325.21
  4. Step 4: Simplify right side
    364.51x = 178,611.84
  5. Step 5: Solve for x
    x = 178,611.84/364.51
  6. Step 6: Final answer
    x = 490.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.