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Finding the Fourth Proportional to 415.84, 573.60 and 304.96

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Solution

The fourth proportional to 415.84, 573.60 and 304.96 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.84 : 573.60 = 304.96 : x
  2. Step 2: Convert to fraction form
    415.84/573.60 = 304.96/x
  3. Step 3: Cross multiply
    415.84x = 573.60 × 304.96
  4. Step 4: Simplify right side
    415.84x = 174,925.06
  5. Step 5: Solve for x
    x = 174,925.06/415.84
  6. Step 6: Final answer
    x = 420.65

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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.