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Finding the Fourth Proportional to 317.10, 437.50 and 199.08

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Solution

The fourth proportional to 317.10, 437.50 and 199.08 is: 274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 437.50 = 199.08 : x
  2. Step 2: Convert to fraction form
    317.10/437.50 = 199.08/x
  3. Step 3: Cross multiply
    317.10x = 437.50 × 199.08
  4. Step 4: Simplify right side
    317.10x = 87,097.50
  5. Step 5: Solve for x
    x = 87,097.50/317.10
  6. Step 6: Final answer
    x = 274.67

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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.