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Finding the Fourth Proportional to 219.16, 301.98 and 210.64

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Solution

The fourth proportional to 219.16, 301.98 and 210.64 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.16 : 301.98 = 210.64 : x
  2. Step 2: Convert to fraction form
    219.16/301.98 = 210.64/x
  3. Step 3: Cross multiply
    219.16x = 301.98 × 210.64
  4. Step 4: Simplify right side
    219.16x = 63,609.07
  5. Step 5: Solve for x
    x = 63,609.07/219.16
  6. Step 6: Final answer
    x = 290.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.