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Finding the Fourth Proportional to 390.96, 582.26 and 364.23

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Solution

The fourth proportional to 390.96, 582.26 and 364.23 is: 542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.96 : 582.26 = 364.23 : x
  2. Step 2: Convert to fraction form
    390.96/582.26 = 364.23/x
  3. Step 3: Cross multiply
    390.96x = 582.26 × 364.23
  4. Step 4: Simplify right side
    390.96x = 212,074.74
  5. Step 5: Solve for x
    x = 212,074.74/390.96
  6. Step 6: Final answer
    x = 542.45

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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.