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Finding the Fourth Proportional to 378.80, 564.86 and 348.88

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Solution

The fourth proportional to 378.80, 564.86 and 348.88 is: 520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 564.86 = 348.88 : x
  2. Step 2: Convert to fraction form
    378.80/564.86 = 348.88/x
  3. Step 3: Cross multiply
    378.80x = 564.86 × 348.88
  4. Step 4: Simplify right side
    378.80x = 197,068.36
  5. Step 5: Solve for x
    x = 197,068.36/378.80
  6. Step 6: Final answer
    x = 520.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.