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Finding the Fourth Proportional to 368.40, 507.42 and 324.84

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Solution

The fourth proportional to 368.40, 507.42 and 324.84 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 507.42 = 324.84 : x
  2. Step 2: Convert to fraction form
    368.40/507.42 = 324.84/x
  3. Step 3: Cross multiply
    368.40x = 507.42 × 324.84
  4. Step 4: Simplify right side
    368.40x = 164,830.31
  5. Step 5: Solve for x
    x = 164,830.31/368.40
  6. Step 6: Final answer
    x = 447.42

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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.