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Finding the Fourth Proportional to 216.68, 325.04 and 194.00

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Solution

The fourth proportional to 216.68, 325.04 and 194.00 is: 291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.68 : 325.04 = 194.00 : x
  2. Step 2: Convert to fraction form
    216.68/325.04 = 194.00/x
  3. Step 3: Cross multiply
    216.68x = 325.04 × 194.00
  4. Step 4: Simplify right side
    216.68x = 63,055.16
  5. Step 5: Solve for x
    x = 63,055.16/216.68
  6. Step 6: Final answer
    x = 291.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.