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Finding the Fourth Proportional to 415.68, 626.34 and 345.12

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Solution

The fourth proportional to 415.68, 626.34 and 345.12 is: 520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 626.34 = 345.12 : x
  2. Step 2: Convert to fraction form
    415.68/626.34 = 345.12/x
  3. Step 3: Cross multiply
    415.68x = 626.34 × 345.12
  4. Step 4: Simplify right side
    415.68x = 216,162.46
  5. Step 5: Solve for x
    x = 216,162.46/415.68
  6. Step 6: Final answer
    x = 520.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.