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Finding the Fourth Proportional to 212.93, 292.51 and 209.89

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Solution

The fourth proportional to 212.93, 292.51 and 209.89 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 292.51 = 209.89 : x
  2. Step 2: Convert to fraction form
    212.93/292.51 = 209.89/x
  3. Step 3: Cross multiply
    212.93x = 292.51 × 209.89
  4. Step 4: Simplify right side
    212.93x = 61,395.55
  5. Step 5: Solve for x
    x = 61,395.55/212.93
  6. Step 6: Final answer
    x = 288.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.