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Finding the Fourth Proportional to 279.68, 423 and 278.08

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Solution

The fourth proportional to 279.68, 423 and 278.08 is: 420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 423 = 278.08 : x
  2. Step 2: Convert to fraction form
    279.68/423 = 278.08/x
  3. Step 3: Cross multiply
    279.68x = 423 × 278.08
  4. Step 4: Simplify right side
    279.68x = 117,627.84
  5. Step 5: Solve for x
    x = 117,627.84/279.68
  6. Step 6: Final answer
    x = 420.58

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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.