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Finding the Fourth Proportional to 218.32, 297.12 and 216.40

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Solution

The fourth proportional to 218.32, 297.12 and 216.40 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 297.12 = 216.40 : x
  2. Step 2: Convert to fraction form
    218.32/297.12 = 216.40/x
  3. Step 3: Cross multiply
    218.32x = 297.12 × 216.40
  4. Step 4: Simplify right side
    218.32x = 64,296.77
  5. Step 5: Solve for x
    x = 64,296.77/218.32
  6. Step 6: Final answer
    x = 294.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.