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Finding the Fourth Proportional to 364.84, 549.19 and 326.56

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Solution

The fourth proportional to 364.84, 549.19 and 326.56 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.84 : 549.19 = 326.56 : x
  2. Step 2: Convert to fraction form
    364.84/549.19 = 326.56/x
  3. Step 3: Cross multiply
    364.84x = 549.19 × 326.56
  4. Step 4: Simplify right side
    364.84x = 179,343.49
  5. Step 5: Solve for x
    x = 179,343.49/364.84
  6. Step 6: Final answer
    x = 491.57

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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.