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Finding the Fourth Proportional to 390.23, 582.06 and 355.19

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Solution

The fourth proportional to 390.23, 582.06 and 355.19 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 582.06 = 355.19 : x
  2. Step 2: Convert to fraction form
    390.23/582.06 = 355.19/x
  3. Step 3: Cross multiply
    390.23x = 582.06 × 355.19
  4. Step 4: Simplify right side
    390.23x = 206,740.12
  5. Step 5: Solve for x
    x = 206,740.12/390.23
  6. Step 6: Final answer
    x = 529.80

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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.