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Finding the Fourth Proportional to 317.63, 475.94 and 152.92

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Solution

The fourth proportional to 317.63, 475.94 and 152.92 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 475.94 = 152.92 : x
  2. Step 2: Convert to fraction form
    317.63/475.94 = 152.92/x
  3. Step 3: Cross multiply
    317.63x = 475.94 × 152.92
  4. Step 4: Simplify right side
    317.63x = 72,778.37
  5. Step 5: Solve for x
    x = 72,778.37/317.63
  6. Step 6: Final answer
    x = 229.13

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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.