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Finding the Fourth Proportional to 373.10, 512.49 and 307.46

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Solution

The fourth proportional to 373.10, 512.49 and 307.46 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.10 : 512.49 = 307.46 : x
  2. Step 2: Convert to fraction form
    373.10/512.49 = 307.46/x
  3. Step 3: Cross multiply
    373.10x = 512.49 × 307.46
  4. Step 4: Simplify right side
    373.10x = 157,568.64
  5. Step 5: Solve for x
    x = 157,568.64/373.10
  6. Step 6: Final answer
    x = 422.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.