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Finding the Fourth Proportional to 317.60, 472.85 and 313.04

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Solution

The fourth proportional to 317.60, 472.85 and 313.04 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.60 : 472.85 = 313.04 : x
  2. Step 2: Convert to fraction form
    317.60/472.85 = 313.04/x
  3. Step 3: Cross multiply
    317.60x = 472.85 × 313.04
  4. Step 4: Simplify right side
    317.60x = 148,022.93
  5. Step 5: Solve for x
    x = 148,022.93/317.60
  6. Step 6: Final answer
    x = 466.07

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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.