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Finding the Fourth Proportional to 378.64, 570.80 and 353.55

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Solution

The fourth proportional to 378.64, 570.80 and 353.55 is: 532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 570.80 = 353.55 : x
  2. Step 2: Convert to fraction form
    378.64/570.80 = 353.55/x
  3. Step 3: Cross multiply
    378.64x = 570.80 × 353.55
  4. Step 4: Simplify right side
    378.64x = 201,809.36
  5. Step 5: Solve for x
    x = 201,809.36/378.64
  6. Step 6: Final answer
    x = 532.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.