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Finding the Fourth Proportional to 378.32, 566.16 and 232.00

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Solution

The fourth proportional to 378.32, 566.16 and 232.00 is: 347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 566.16 = 232.00 : x
  2. Step 2: Convert to fraction form
    378.32/566.16 = 232.00/x
  3. Step 3: Cross multiply
    378.32x = 566.16 × 232.00
  4. Step 4: Simplify right side
    378.32x = 131,346.83
  5. Step 5: Solve for x
    x = 131,346.83/378.32
  6. Step 6: Final answer
    x = 347.19

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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.