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Finding the Fourth Proportional to 404.28, 560.46 and 390.84

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Solution

The fourth proportional to 404.28, 560.46 and 390.84 is: 541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.28 : 560.46 = 390.84 : x
  2. Step 2: Convert to fraction form
    404.28/560.46 = 390.84/x
  3. Step 3: Cross multiply
    404.28x = 560.46 × 390.84
  4. Step 4: Simplify right side
    404.28x = 219,050.19
  5. Step 5: Solve for x
    x = 219,050.19/404.28
  6. Step 6: Final answer
    x = 541.83

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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.