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Finding the Fourth Proportional to 317.24, 476.26 and 266.20

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Solution

The fourth proportional to 317.24, 476.26 and 266.20 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 476.26 = 266.20 : x
  2. Step 2: Convert to fraction form
    317.24/476.26 = 266.20/x
  3. Step 3: Cross multiply
    317.24x = 476.26 × 266.20
  4. Step 4: Simplify right side
    317.24x = 126,780.41
  5. Step 5: Solve for x
    x = 126,780.41/317.24
  6. Step 6: Final answer
    x = 399.64

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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.