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Finding the Fourth Proportional to 418.40, 578.72 and 372.48

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Solution

The fourth proportional to 418.40, 578.72 and 372.48 is: 515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 578.72 = 372.48 : x
  2. Step 2: Convert to fraction form
    418.40/578.72 = 372.48/x
  3. Step 3: Cross multiply
    418.40x = 578.72 × 372.48
  4. Step 4: Simplify right side
    418.40x = 215,561.63
  5. Step 5: Solve for x
    x = 215,561.63/418.40
  6. Step 6: Final answer
    x = 515.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.