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Finding the Fourth Proportional to 324.32, 488.21 and 279.66

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Solution

The fourth proportional to 324.32, 488.21 and 279.66 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 488.21 = 279.66 : x
  2. Step 2: Convert to fraction form
    324.32/488.21 = 279.66/x
  3. Step 3: Cross multiply
    324.32x = 488.21 × 279.66
  4. Step 4: Simplify right side
    324.32x = 136,533.51
  5. Step 5: Solve for x
    x = 136,533.51/324.32
  6. Step 6: Final answer
    x = 420.99

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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.