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Finding the Fourth Proportional to 317.35, 476.37 and 266.55

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Solution

The fourth proportional to 317.35, 476.37 and 266.55 is: 400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.35 : 476.37 = 266.55 : x
  2. Step 2: Convert to fraction form
    317.35/476.37 = 266.55/x
  3. Step 3: Cross multiply
    317.35x = 476.37 × 266.55
  4. Step 4: Simplify right side
    317.35x = 126,975.09
  5. Step 5: Solve for x
    x = 126,975.09/317.35
  6. Step 6: Final answer
    x = 400.11

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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.