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Finding the Fourth Proportional to 278.16, 419.22 and 275.41

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Solution

The fourth proportional to 278.16, 419.22 and 275.41 is: 415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 419.22 = 275.41 : x
  2. Step 2: Convert to fraction form
    278.16/419.22 = 275.41/x
  3. Step 3: Cross multiply
    278.16x = 419.22 × 275.41
  4. Step 4: Simplify right side
    278.16x = 115,457.38
  5. Step 5: Solve for x
    x = 115,457.38/278.16
  6. Step 6: Final answer
    x = 415.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.