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Finding the Fourth Proportional to 345.97, 515.12 and 341.13

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Solution

The fourth proportional to 345.97, 515.12 and 341.13 is: 507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 515.12 = 341.13 : x
  2. Step 2: Convert to fraction form
    345.97/515.12 = 341.13/x
  3. Step 3: Cross multiply
    345.97x = 515.12 × 341.13
  4. Step 4: Simplify right side
    345.97x = 175,722.46
  5. Step 5: Solve for x
    x = 175,722.46/345.97
  6. Step 6: Final answer
    x = 507.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.