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Finding the Fourth Proportional to 216.32, 294.40 and 214.40

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Solution

The fourth proportional to 216.32, 294.40 and 214.40 is: 291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 294.40 = 214.40 : x
  2. Step 2: Convert to fraction form
    216.32/294.40 = 214.40/x
  3. Step 3: Cross multiply
    216.32x = 294.40 × 214.40
  4. Step 4: Simplify right side
    216.32x = 63,119.36
  5. Step 5: Solve for x
    x = 63,119.36/216.32
  6. Step 6: Final answer
    x = 291.79

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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.