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Finding the Fourth Proportional to 376.38, 561.42 and 314.82

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Solution

The fourth proportional to 376.38, 561.42 and 314.82 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.38 : 561.42 = 314.82 : x
  2. Step 2: Convert to fraction form
    376.38/561.42 = 314.82/x
  3. Step 3: Cross multiply
    376.38x = 561.42 × 314.82
  4. Step 4: Simplify right side
    376.38x = 176,746.24
  5. Step 5: Solve for x
    x = 176,746.24/376.38
  6. Step 6: Final answer
    x = 469.60

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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.