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Finding the Fourth Proportional to 324, 488.43 and 319.14

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Solution

The fourth proportional to 324, 488.43 and 319.14 is: 481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 488.43 = 319.14 : x
  2. Step 2: Convert to fraction form
    324/488.43 = 319.14/x
  3. Step 3: Cross multiply
    324x = 488.43 × 319.14
  4. Step 4: Simplify right side
    324x = 155,877.55
  5. Step 5: Solve for x
    x = 155,877.55/324
  6. Step 6: Final answer
    x = 481.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.