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Finding the Fourth Proportional to 324.84, 484.59 and 313.86

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Solution

The fourth proportional to 324.84, 484.59 and 313.86 is: 468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 484.59 = 313.86 : x
  2. Step 2: Convert to fraction form
    324.84/484.59 = 313.86/x
  3. Step 3: Cross multiply
    324.84x = 484.59 × 313.86
  4. Step 4: Simplify right side
    324.84x = 152,093.42
  5. Step 5: Solve for x
    x = 152,093.42/324.84
  6. Step 6: Final answer
    x = 468.21

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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.