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Finding the Fourth Proportional to 364.80, 546.24 and 279.36

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Solution

The fourth proportional to 364.80, 546.24 and 279.36 is: 418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 546.24 = 279.36 : x
  2. Step 2: Convert to fraction form
    364.80/546.24 = 279.36/x
  3. Step 3: Cross multiply
    364.80x = 546.24 × 279.36
  4. Step 4: Simplify right side
    364.80x = 152,597.61
  5. Step 5: Solve for x
    x = 152,597.61/364.80
  6. Step 6: Final answer
    x = 418.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.