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Finding the Fourth Proportional to 218.37, 322.98 and 218.37

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Solution

The fourth proportional to 218.37, 322.98 and 218.37 is: 322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.37 : 322.98 = 218.37 : x
  2. Step 2: Convert to fraction form
    218.37/322.98 = 218.37/x
  3. Step 3: Cross multiply
    218.37x = 322.98 × 218.37
  4. Step 4: Simplify right side
    218.37x = 70,526.44
  5. Step 5: Solve for x
    x = 70,526.44/218.37
  6. Step 6: Final answer
    x = 322.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.