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Finding the Fourth Proportional to 366.09, 504.68 and 278.61

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Solution

The fourth proportional to 366.09, 504.68 and 278.61 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.09 : 504.68 = 278.61 : x
  2. Step 2: Convert to fraction form
    366.09/504.68 = 278.61/x
  3. Step 3: Cross multiply
    366.09x = 504.68 × 278.61
  4. Step 4: Simplify right side
    366.09x = 140,607.50
  5. Step 5: Solve for x
    x = 140,607.50/366.09
  6. Step 6: Final answer
    x = 384.08

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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.