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Finding the Fourth Proportional to 211.20, 317.52 and 177.72

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Solution

The fourth proportional to 211.20, 317.52 and 177.72 is: 267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.20 : 317.52 = 177.72 : x
  2. Step 2: Convert to fraction form
    211.20/317.52 = 177.72/x
  3. Step 3: Cross multiply
    211.20x = 317.52 × 177.72
  4. Step 4: Simplify right side
    211.20x = 56,429.65
  5. Step 5: Solve for x
    x = 56,429.65/211.20
  6. Step 6: Final answer
    x = 267.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.