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Finding the Fourth Proportional to 278.16, 383.80 and 184.80

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Solution

The fourth proportional to 278.16, 383.80 and 184.80 is: 254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 383.80 = 184.80 : x
  2. Step 2: Convert to fraction form
    278.16/383.80 = 184.80/x
  3. Step 3: Cross multiply
    278.16x = 383.80 × 184.80
  4. Step 4: Simplify right side
    278.16x = 70,926.24
  5. Step 5: Solve for x
    x = 70,926.24/278.16
  6. Step 6: Final answer
    x = 254.98

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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.