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Finding the Fourth Proportional to 420.22, 579.63 and 264.88

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Solution

The fourth proportional to 420.22, 579.63 and 264.88 is: 365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.22 : 579.63 = 264.88 : x
  2. Step 2: Convert to fraction form
    420.22/579.63 = 264.88/x
  3. Step 3: Cross multiply
    420.22x = 579.63 × 264.88
  4. Step 4: Simplify right side
    420.22x = 153,532.39
  5. Step 5: Solve for x
    x = 153,532.39/420.22
  6. Step 6: Final answer
    x = 365.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.