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Finding the Fourth Proportional to 415.51, 573.39 and 238.35

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Solution

The fourth proportional to 415.51, 573.39 and 238.35 is: 328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.51 : 573.39 = 238.35 : x
  2. Step 2: Convert to fraction form
    415.51/573.39 = 238.35/x
  3. Step 3: Cross multiply
    415.51x = 573.39 × 238.35
  4. Step 4: Simplify right side
    415.51x = 136,667.37
  5. Step 5: Solve for x
    x = 136,667.37/415.51
  6. Step 6: Final answer
    x = 328.91

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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.