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Finding the Fourth Proportional to 313.82, 469.35 and 235.93

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Solution

The fourth proportional to 313.82, 469.35 and 235.93 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 469.35 = 235.93 : x
  2. Step 2: Convert to fraction form
    313.82/469.35 = 235.93/x
  3. Step 3: Cross multiply
    313.82x = 469.35 × 235.93
  4. Step 4: Simplify right side
    313.82x = 110,732.57
  5. Step 5: Solve for x
    x = 110,732.57/313.82
  6. Step 6: Final answer
    x = 352.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.