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Finding the Fourth Proportional to 216.32, 300.14 and 214.46

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Solution

The fourth proportional to 216.32, 300.14 and 214.46 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 300.14 = 214.46 : x
  2. Step 2: Convert to fraction form
    216.32/300.14 = 214.46/x
  3. Step 3: Cross multiply
    216.32x = 300.14 × 214.46
  4. Step 4: Simplify right side
    216.32x = 64,368.02
  5. Step 5: Solve for x
    x = 64,368.02/216.32
  6. Step 6: Final answer
    x = 297.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.