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Finding the Fourth Proportional to 211.91, 319.43 and 176.07

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Solution

The fourth proportional to 211.91, 319.43 and 176.07 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 319.43 = 176.07 : x
  2. Step 2: Convert to fraction form
    211.91/319.43 = 176.07/x
  3. Step 3: Cross multiply
    211.91x = 319.43 × 176.07
  4. Step 4: Simplify right side
    211.91x = 56,242.04
  5. Step 5: Solve for x
    x = 56,242.04/211.91
  6. Step 6: Final answer
    x = 265.41

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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.