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Finding the Fourth Proportional to 389.61, 582.68 and 346.55

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Solution

The fourth proportional to 389.61, 582.68 and 346.55 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.61 : 582.68 = 346.55 : x
  2. Step 2: Convert to fraction form
    389.61/582.68 = 346.55/x
  3. Step 3: Cross multiply
    389.61x = 582.68 × 346.55
  4. Step 4: Simplify right side
    389.61x = 201,923.11
  5. Step 5: Solve for x
    x = 201,923.11/389.61
  6. Step 6: Final answer
    x = 518.27

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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.