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Finding the Fourth Proportional to 374.64, 517.08 and 219.36

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Solution

The fourth proportional to 374.64, 517.08 and 219.36 is: 302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 517.08 = 219.36 : x
  2. Step 2: Convert to fraction form
    374.64/517.08 = 219.36/x
  3. Step 3: Cross multiply
    374.64x = 517.08 × 219.36
  4. Step 4: Simplify right side
    374.64x = 113,426.67
  5. Step 5: Solve for x
    x = 113,426.67/374.64
  6. Step 6: Final answer
    x = 302.76

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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.