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Finding the Fourth Proportional to 421.88, 582.20 and 247.18

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Solution

The fourth proportional to 421.88, 582.20 and 247.18 is: 341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 582.20 = 247.18 : x
  2. Step 2: Convert to fraction form
    421.88/582.20 = 247.18/x
  3. Step 3: Cross multiply
    421.88x = 582.20 × 247.18
  4. Step 4: Simplify right side
    421.88x = 143,908.20
  5. Step 5: Solve for x
    x = 143,908.20/421.88
  6. Step 6: Final answer
    x = 341.11

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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.