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Finding the Fourth Proportional to 218.25, 328.59 and 192.72

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Solution

The fourth proportional to 218.25, 328.59 and 192.72 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.25 : 328.59 = 192.72 : x
  2. Step 2: Convert to fraction form
    218.25/328.59 = 192.72/x
  3. Step 3: Cross multiply
    218.25x = 328.59 × 192.72
  4. Step 4: Simplify right side
    218.25x = 63,325.86
  5. Step 5: Solve for x
    x = 63,325.86/218.25
  6. Step 6: Final answer
    x = 290.15

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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.