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Finding the Fourth Proportional to 378.60, 567.63 and 232.35

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Solution

The fourth proportional to 378.60, 567.63 and 232.35 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 567.63 = 232.35 : x
  2. Step 2: Convert to fraction form
    378.60/567.63 = 232.35/x
  3. Step 3: Cross multiply
    378.60x = 567.63 × 232.35
  4. Step 4: Simplify right side
    378.60x = 131,888.83
  5. Step 5: Solve for x
    x = 131,888.83/378.60
  6. Step 6: Final answer
    x = 348.36

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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.