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Finding the Fourth Proportional to 317.22, 476.90 and 253.02

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Solution

The fourth proportional to 317.22, 476.90 and 253.02 is: 380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.22 : 476.90 = 253.02 : x
  2. Step 2: Convert to fraction form
    317.22/476.90 = 253.02/x
  3. Step 3: Cross multiply
    317.22x = 476.90 × 253.02
  4. Step 4: Simplify right side
    317.22x = 120,665.24
  5. Step 5: Solve for x
    x = 120,665.24/317.22
  6. Step 6: Final answer
    x = 380.38

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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.