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Finding the Fourth Proportional to 218.40, 298.80 and 216.24

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Solution

The fourth proportional to 218.40, 298.80 and 216.24 is: 295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 298.80 = 216.24 : x
  2. Step 2: Convert to fraction form
    218.40/298.80 = 216.24/x
  3. Step 3: Cross multiply
    218.40x = 298.80 × 216.24
  4. Step 4: Simplify right side
    218.40x = 64,612.51
  5. Step 5: Solve for x
    x = 64,612.51/218.40
  6. Step 6: Final answer
    x = 295.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.