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Finding the Fourth Proportional to 218.74, 328.02 and 96.98

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Solution

The fourth proportional to 218.74, 328.02 and 96.98 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 328.02 = 96.98 : x
  2. Step 2: Convert to fraction form
    218.74/328.02 = 96.98/x
  3. Step 3: Cross multiply
    218.74x = 328.02 × 96.98
  4. Step 4: Simplify right side
    218.74x = 31,811.38
  5. Step 5: Solve for x
    x = 31,811.38/218.74
  6. Step 6: Final answer
    x = 145.43

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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.