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Finding the Fourth Proportional to 317.09, 472.74 and 309.11

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Solution

The fourth proportional to 317.09, 472.74 and 309.11 is: 460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.09 : 472.74 = 309.11 : x
  2. Step 2: Convert to fraction form
    317.09/472.74 = 309.11/x
  3. Step 3: Cross multiply
    317.09x = 472.74 × 309.11
  4. Step 4: Simplify right side
    317.09x = 146,126.30
  5. Step 5: Solve for x
    x = 146,126.30/317.09
  6. Step 6: Final answer
    x = 460.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.