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Finding the Fourth Proportional to 270.04, 403.40 and 216.04

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Solution

The fourth proportional to 270.04, 403.40 and 216.04 is: 322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.04 : 403.40 = 216.04 : x
  2. Step 2: Convert to fraction form
    270.04/403.40 = 216.04/x
  3. Step 3: Cross multiply
    270.04x = 403.40 × 216.04
  4. Step 4: Simplify right side
    270.04x = 87,150.54
  5. Step 5: Solve for x
    x = 87,150.54/270.04
  6. Step 6: Final answer
    x = 322.73

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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.