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Finding the Fourth Proportional to 378.52, 566.80 and 320.58

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Solution

The fourth proportional to 378.52, 566.80 and 320.58 is: 480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.52 : 566.80 = 320.58 : x
  2. Step 2: Convert to fraction form
    378.52/566.80 = 320.58/x
  3. Step 3: Cross multiply
    378.52x = 566.80 × 320.58
  4. Step 4: Simplify right side
    378.52x = 181,703.94
  5. Step 5: Solve for x
    x = 181,703.94/378.52
  6. Step 6: Final answer
    x = 480.04

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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.