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Finding the Fourth Proportional to 378.50, 565.29 and 357.44

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Solution

The fourth proportional to 378.50, 565.29 and 357.44 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 565.29 = 357.44 : x
  2. Step 2: Convert to fraction form
    378.50/565.29 = 357.44/x
  3. Step 3: Cross multiply
    378.50x = 565.29 × 357.44
  4. Step 4: Simplify right side
    378.50x = 202,054.43
  5. Step 5: Solve for x
    x = 202,054.43/378.50
  6. Step 6: Final answer
    x = 533.84

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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.