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Finding the Fourth Proportional to 212.58, 293.08 and 153.65

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Solution

The fourth proportional to 212.58, 293.08 and 153.65 is: 211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 293.08 = 153.65 : x
  2. Step 2: Convert to fraction form
    212.58/293.08 = 153.65/x
  3. Step 3: Cross multiply
    212.58x = 293.08 × 153.65
  4. Step 4: Simplify right side
    212.58x = 45,031.74
  5. Step 5: Solve for x
    x = 45,031.74/212.58
  6. Step 6: Final answer
    x = 211.83

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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.