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Finding the Fourth Proportional to 423.22, 584.58 and 324.76

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Solution

The fourth proportional to 423.22, 584.58 and 324.76 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.22 : 584.58 = 324.76 : x
  2. Step 2: Convert to fraction form
    423.22/584.58 = 324.76/x
  3. Step 3: Cross multiply
    423.22x = 584.58 × 324.76
  4. Step 4: Simplify right side
    423.22x = 189,848.20
  5. Step 5: Solve for x
    x = 189,848.20/423.22
  6. Step 6: Final answer
    x = 448.58

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Find fourth proportional to 211.61, 292.29 and 162.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.