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Finding the Fourth Proportional to 211.24, 291.30 and 176.68

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Solution

The fourth proportional to 211.24, 291.30 and 176.68 is: 243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 291.30 = 176.68 : x
  2. Step 2: Convert to fraction form
    211.24/291.30 = 176.68/x
  3. Step 3: Cross multiply
    211.24x = 291.30 × 176.68
  4. Step 4: Simplify right side
    211.24x = 51,466.88
  5. Step 5: Solve for x
    x = 51,466.88/211.24
  6. Step 6: Final answer
    x = 243.64

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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.