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Finding the Fourth Proportional to 313.08, 468.54 and 209.52

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Solution

The fourth proportional to 313.08, 468.54 and 209.52 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 468.54 = 209.52 : x
  2. Step 2: Convert to fraction form
    313.08/468.54 = 209.52/x
  3. Step 3: Cross multiply
    313.08x = 468.54 × 209.52
  4. Step 4: Simplify right side
    313.08x = 98,168.50
  5. Step 5: Solve for x
    x = 98,168.50/313.08
  6. Step 6: Final answer
    x = 313.56

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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.