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Finding the Fourth Proportional to 279.02, 420.65 and 264.14

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Solution

The fourth proportional to 279.02, 420.65 and 264.14 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.02 : 420.65 = 264.14 : x
  2. Step 2: Convert to fraction form
    279.02/420.65 = 264.14/x
  3. Step 3: Cross multiply
    279.02x = 420.65 × 264.14
  4. Step 4: Simplify right side
    279.02x = 111,110.49
  5. Step 5: Solve for x
    x = 111,110.49/279.02
  6. Step 6: Final answer
    x = 398.22

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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.