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Finding the Fourth Proportional to 421.38, 585.54 and 416.22

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Solution

The fourth proportional to 421.38, 585.54 and 416.22 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.38 : 585.54 = 416.22 : x
  2. Step 2: Convert to fraction form
    421.38/585.54 = 416.22/x
  3. Step 3: Cross multiply
    421.38x = 585.54 × 416.22
  4. Step 4: Simplify right side
    421.38x = 243,711.26
  5. Step 5: Solve for x
    x = 243,711.26/421.38
  6. Step 6: Final answer
    x = 578.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.