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Finding the Fourth Proportional to 212.13, 317.59 and 185.00

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Solution

The fourth proportional to 212.13, 317.59 and 185.00 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 317.59 = 185.00 : x
  2. Step 2: Convert to fraction form
    212.13/317.59 = 185.00/x
  3. Step 3: Cross multiply
    212.13x = 317.59 × 185.00
  4. Step 4: Simplify right side
    212.13x = 58,752.10
  5. Step 5: Solve for x
    x = 58,752.10/212.13
  6. Step 6: Final answer
    x = 276.96

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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.