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Finding the Fourth Proportional to 317.24, 476.40 and 253.52

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Solution

The fourth proportional to 317.24, 476.40 and 253.52 is: 380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 476.40 = 253.52 : x
  2. Step 2: Convert to fraction form
    317.24/476.40 = 253.52/x
  3. Step 3: Cross multiply
    317.24x = 476.40 × 253.52
  4. Step 4: Simplify right side
    317.24x = 120,776.93
  5. Step 5: Solve for x
    x = 120,776.93/317.24
  6. Step 6: Final answer
    x = 380.71

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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.