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Finding the Fourth Proportional to 373.70, 515.76 and 226.35

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Solution

The fourth proportional to 373.70, 515.76 and 226.35 is: 312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.70 : 515.76 = 226.35 : x
  2. Step 2: Convert to fraction form
    373.70/515.76 = 226.35/x
  3. Step 3: Cross multiply
    373.70x = 515.76 × 226.35
  4. Step 4: Simplify right side
    373.70x = 116,742.28
  5. Step 5: Solve for x
    x = 116,742.28/373.70
  6. Step 6: Final answer
    x = 312.40

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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.