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Finding the Fourth Proportional to 390.01, 584.78 and 353.05

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Solution

The fourth proportional to 390.01, 584.78 and 353.05 is: 529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.01 : 584.78 = 353.05 : x
  2. Step 2: Convert to fraction form
    390.01/584.78 = 353.05/x
  3. Step 3: Cross multiply
    390.01x = 584.78 × 353.05
  4. Step 4: Simplify right side
    390.01x = 206,454.81
  5. Step 5: Solve for x
    x = 206,454.81/390.01
  6. Step 6: Final answer
    x = 529.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.