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Finding the Fourth Proportional to 378.19, 569.32 and 338.50

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Solution

The fourth proportional to 378.19, 569.32 and 338.50 is: 509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.19 : 569.32 = 338.50 : x
  2. Step 2: Convert to fraction form
    378.19/569.32 = 338.50/x
  3. Step 3: Cross multiply
    378.19x = 569.32 × 338.50
  4. Step 4: Simplify right side
    378.19x = 192,714.82
  5. Step 5: Solve for x
    x = 192,714.82/378.19
  6. Step 6: Final answer
    x = 509.57

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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.