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Finding the Fourth Proportional to 368.43, 549.80 and 327.53

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Solution

The fourth proportional to 368.43, 549.80 and 327.53 is: 488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.43 : 549.80 = 327.53 : x
  2. Step 2: Convert to fraction form
    368.43/549.80 = 327.53/x
  3. Step 3: Cross multiply
    368.43x = 549.80 × 327.53
  4. Step 4: Simplify right side
    368.43x = 180,071.61
  5. Step 5: Solve for x
    x = 180,071.61/368.43
  6. Step 6: Final answer
    x = 488.75

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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.