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Finding the Fourth Proportional to 421.89, 582.57 and 291.21

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Solution

The fourth proportional to 421.89, 582.57 and 291.21 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.89 : 582.57 = 291.21 : x
  2. Step 2: Convert to fraction form
    421.89/582.57 = 291.21/x
  3. Step 3: Cross multiply
    421.89x = 582.57 × 291.21
  4. Step 4: Simplify right side
    421.89x = 169,650.21
  5. Step 5: Solve for x
    x = 169,650.21/421.89
  6. Step 6: Final answer
    x = 402.12

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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.