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Finding the Fourth Proportional to 278.04, 414.99 and 236.64

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Solution

The fourth proportional to 278.04, 414.99 and 236.64 is: 353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 414.99 = 236.64 : x
  2. Step 2: Convert to fraction form
    278.04/414.99 = 236.64/x
  3. Step 3: Cross multiply
    278.04x = 414.99 × 236.64
  4. Step 4: Simplify right side
    278.04x = 98,203.23
  5. Step 5: Solve for x
    x = 98,203.23/278.04
  6. Step 6: Final answer
    x = 353.20

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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.