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Finding the Fourth Proportional to 301.50, 415.86 and 235.88

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Solution

The fourth proportional to 301.50, 415.86 and 235.88 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 415.86 = 235.88 : x
  2. Step 2: Convert to fraction form
    301.50/415.86 = 235.88/x
  3. Step 3: Cross multiply
    301.50x = 415.86 × 235.88
  4. Step 4: Simplify right side
    301.50x = 98,093.06
  5. Step 5: Solve for x
    x = 98,093.06/301.50
  6. Step 6: Final answer
    x = 325.35

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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.