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Finding the Fourth Proportional to 278.15, 419.50 and 275.06

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Solution

The fourth proportional to 278.15, 419.50 and 275.06 is: 414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 419.50 = 275.06 : x
  2. Step 2: Convert to fraction form
    278.15/419.50 = 275.06/x
  3. Step 3: Cross multiply
    278.15x = 419.50 × 275.06
  4. Step 4: Simplify right side
    278.15x = 115,389.06
  5. Step 5: Solve for x
    x = 115,389.06/278.15
  6. Step 6: Final answer
    x = 414.85

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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.