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Finding the Fourth Proportional to 387.42, 578.16 and 346.43

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Solution

The fourth proportional to 387.42, 578.16 and 346.43 is: 516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.42 : 578.16 = 346.43 : x
  2. Step 2: Convert to fraction form
    387.42/578.16 = 346.43/x
  3. Step 3: Cross multiply
    387.42x = 578.16 × 346.43
  4. Step 4: Simplify right side
    387.42x = 200,289.08
  5. Step 5: Solve for x
    x = 200,289.08/387.42
  6. Step 6: Final answer
    x = 516.98

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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.