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Finding the Fourth Proportional to 427.45, 590.08 and 278.14

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Solution

The fourth proportional to 427.45, 590.08 and 278.14 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.45 : 590.08 = 278.14 : x
  2. Step 2: Convert to fraction form
    427.45/590.08 = 278.14/x
  3. Step 3: Cross multiply
    427.45x = 590.08 × 278.14
  4. Step 4: Simplify right side
    427.45x = 164,121.90
  5. Step 5: Solve for x
    x = 164,121.90/427.45
  6. Step 6: Final answer
    x = 383.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.