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Finding the Fourth Proportional to 420.49, 579.67 and 302.41

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Solution

The fourth proportional to 420.49, 579.67 and 302.41 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.49 : 579.67 = 302.41 : x
  2. Step 2: Convert to fraction form
    420.49/579.67 = 302.41/x
  3. Step 3: Cross multiply
    420.49x = 579.67 × 302.41
  4. Step 4: Simplify right side
    420.49x = 175,298.00
  5. Step 5: Solve for x
    x = 175,298.00/420.49
  6. Step 6: Final answer
    x = 416.89

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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.