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Finding the Fourth Proportional to 377.91, 562.74 and 364.07

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Solution

The fourth proportional to 377.91, 562.74 and 364.07 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.91 : 562.74 = 364.07 : x
  2. Step 2: Convert to fraction form
    377.91/562.74 = 364.07/x
  3. Step 3: Cross multiply
    377.91x = 562.74 × 364.07
  4. Step 4: Simplify right side
    377.91x = 204,876.79
  5. Step 5: Solve for x
    x = 204,876.79/377.91
  6. Step 6: Final answer
    x = 542.13

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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.