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Finding the Fourth Proportional to 387.90, 578.58 and 376.37

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Solution

The fourth proportional to 387.90, 578.58 and 376.37 is: 561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.90 : 578.58 = 376.37 : x
  2. Step 2: Convert to fraction form
    387.90/578.58 = 376.37/x
  3. Step 3: Cross multiply
    387.90x = 578.58 × 376.37
  4. Step 4: Simplify right side
    387.90x = 217,757.26
  5. Step 5: Solve for x
    x = 217,757.26/387.90
  6. Step 6: Final answer
    x = 561.37

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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.