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Finding the Fourth Proportional to 373.60, 515.36 and 218.24

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Solution

The fourth proportional to 373.60, 515.36 and 218.24 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.60 : 515.36 = 218.24 : x
  2. Step 2: Convert to fraction form
    373.60/515.36 = 218.24/x
  3. Step 3: Cross multiply
    373.60x = 515.36 × 218.24
  4. Step 4: Simplify right side
    373.60x = 112,472.17
  5. Step 5: Solve for x
    x = 112,472.17/373.60
  6. Step 6: Final answer
    x = 301.05

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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.