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Finding the Fourth Proportional to 212.88, 294.96 and 210.28

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Solution

The fourth proportional to 212.88, 294.96 and 210.28 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 294.96 = 210.28 : x
  2. Step 2: Convert to fraction form
    212.88/294.96 = 210.28/x
  3. Step 3: Cross multiply
    212.88x = 294.96 × 210.28
  4. Step 4: Simplify right side
    212.88x = 62,024.19
  5. Step 5: Solve for x
    x = 62,024.19/212.88
  6. Step 6: Final answer
    x = 291.36

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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.