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Finding the Fourth Proportional to 376.48, 561.51 and 319.08

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Solution

The fourth proportional to 376.48, 561.51 and 319.08 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.48 : 561.51 = 319.08 : x
  2. Step 2: Convert to fraction form
    376.48/561.51 = 319.08/x
  3. Step 3: Cross multiply
    376.48x = 561.51 × 319.08
  4. Step 4: Simplify right side
    376.48x = 179,166.61
  5. Step 5: Solve for x
    x = 179,166.61/376.48
  6. Step 6: Final answer
    x = 475.90

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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.