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Finding the Fourth Proportional to 415.36, 572.48 and 298.88

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Solution

The fourth proportional to 415.36, 572.48 and 298.88 is: 411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 572.48 = 298.88 : x
  2. Step 2: Convert to fraction form
    415.36/572.48 = 298.88/x
  3. Step 3: Cross multiply
    415.36x = 572.48 × 298.88
  4. Step 4: Simplify right side
    415.36x = 171,102.82
  5. Step 5: Solve for x
    x = 171,102.82/415.36
  6. Step 6: Final answer
    x = 411.94

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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.