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Finding the Fourth Proportional to 212.63, 317.52 and 177.80

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Solution

The fourth proportional to 212.63, 317.52 and 177.80 is: 265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 317.52 = 177.80 : x
  2. Step 2: Convert to fraction form
    212.63/317.52 = 177.80/x
  3. Step 3: Cross multiply
    212.63x = 317.52 × 177.80
  4. Step 4: Simplify right side
    212.63x = 56,453.47
  5. Step 5: Solve for x
    x = 56,453.47/212.63
  6. Step 6: Final answer
    x = 265.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.