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Finding the Fourth Proportional to 420.38, 579.90 and 304.04

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Solution

The fourth proportional to 420.38, 579.90 and 304.04 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.38 : 579.90 = 304.04 : x
  2. Step 2: Convert to fraction form
    420.38/579.90 = 304.04/x
  3. Step 3: Cross multiply
    420.38x = 579.90 × 304.04
  4. Step 4: Simplify right side
    420.38x = 176,312.80
  5. Step 5: Solve for x
    x = 176,312.80/420.38
  6. Step 6: Final answer
    x = 419.41

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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.