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Finding the Fourth Proportional to 317.82, 475.58 and 275

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Solution

The fourth proportional to 317.82, 475.58 and 275 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.82 : 475.58 = 275 : x
  2. Step 2: Convert to fraction form
    317.82/475.58 = 275/x
  3. Step 3: Cross multiply
    317.82x = 475.58 × 275
  4. Step 4: Simplify right side
    317.82x = 130,784.50
  5. Step 5: Solve for x
    x = 130,784.50/317.82
  6. Step 6: Final answer
    x = 411.50

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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.