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Finding the Fourth Proportional to 404.80, 561.18 and 382.90

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Solution

The fourth proportional to 404.80, 561.18 and 382.90 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.80 : 561.18 = 382.90 : x
  2. Step 2: Convert to fraction form
    404.80/561.18 = 382.90/x
  3. Step 3: Cross multiply
    404.80x = 561.18 × 382.90
  4. Step 4: Simplify right side
    404.80x = 214,875.82
  5. Step 5: Solve for x
    x = 214,875.82/404.80
  6. Step 6: Final answer
    x = 530.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.