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Finding the Fourth Proportional to 278.66, 415.60 and 264.08

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Solution

The fourth proportional to 278.66, 415.60 and 264.08 is: 393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 415.60 = 264.08 : x
  2. Step 2: Convert to fraction form
    278.66/415.60 = 264.08/x
  3. Step 3: Cross multiply
    278.66x = 415.60 × 264.08
  4. Step 4: Simplify right side
    278.66x = 109,751.65
  5. Step 5: Solve for x
    x = 109,751.65/278.66
  6. Step 6: Final answer
    x = 393.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.