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Finding the Fourth Proportional to 421.78, 582.11 and 247.14

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Solution

The fourth proportional to 421.78, 582.11 and 247.14 is: 341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 582.11 = 247.14 : x
  2. Step 2: Convert to fraction form
    421.78/582.11 = 247.14/x
  3. Step 3: Cross multiply
    421.78x = 582.11 × 247.14
  4. Step 4: Simplify right side
    421.78x = 143,862.67
  5. Step 5: Solve for x
    x = 143,862.67/421.78
  6. Step 6: Final answer
    x = 341.08

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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.