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Finding the Fourth Proportional to 212.91, 320.94 and 177.07

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Solution

The fourth proportional to 212.91, 320.94 and 177.07 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.91 : 320.94 = 177.07 : x
  2. Step 2: Convert to fraction form
    212.91/320.94 = 177.07/x
  3. Step 3: Cross multiply
    212.91x = 320.94 × 177.07
  4. Step 4: Simplify right side
    212.91x = 56,828.85
  5. Step 5: Solve for x
    x = 56,828.85/212.91
  6. Step 6: Final answer
    x = 266.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.