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Finding the Fourth Proportional to 378.74, 565.35 and 324.98

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Solution

The fourth proportional to 378.74, 565.35 and 324.98 is: 485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 565.35 = 324.98 : x
  2. Step 2: Convert to fraction form
    378.74/565.35 = 324.98/x
  3. Step 3: Cross multiply
    378.74x = 565.35 × 324.98
  4. Step 4: Simplify right side
    378.74x = 183,725.82
  5. Step 5: Solve for x
    x = 183,725.82/378.74
  6. Step 6: Final answer
    x = 485.10

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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.