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Finding the Fourth Proportional to 420.36, 579.88 and 263.11

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Solution

The fourth proportional to 420.36, 579.88 and 263.11 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.36 : 579.88 = 263.11 : x
  2. Step 2: Convert to fraction form
    420.36/579.88 = 263.11/x
  3. Step 3: Cross multiply
    420.36x = 579.88 × 263.11
  4. Step 4: Simplify right side
    420.36x = 152,572.23
  5. Step 5: Solve for x
    x = 152,572.23/420.36
  6. Step 6: Final answer
    x = 362.96

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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.