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Finding the Fourth Proportional to 420.27, 579.98 and 262.90

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Solution

The fourth proportional to 420.27, 579.98 and 262.90 is: 362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.27 : 579.98 = 262.90 : x
  2. Step 2: Convert to fraction form
    420.27/579.98 = 262.90/x
  3. Step 3: Cross multiply
    420.27x = 579.98 × 262.90
  4. Step 4: Simplify right side
    420.27x = 152,476.74
  5. Step 5: Solve for x
    x = 152,476.74/420.27
  6. Step 6: Final answer
    x = 362.81

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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.