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Finding the Fourth Proportional to 324.53, 484.48 and 313.14

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Solution

The fourth proportional to 324.53, 484.48 and 313.14 is: 467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.53 : 484.48 = 313.14 : x
  2. Step 2: Convert to fraction form
    324.53/484.48 = 313.14/x
  3. Step 3: Cross multiply
    324.53x = 484.48 × 313.14
  4. Step 4: Simplify right side
    324.53x = 151,706.86
  5. Step 5: Solve for x
    x = 151,706.86/324.53
  6. Step 6: Final answer
    x = 467.47

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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.