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Finding the Fourth Proportional to 345.19, 517.19 and 290.69

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Solution

The fourth proportional to 345.19, 517.19 and 290.69 is: 435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.19 : 517.19 = 290.69 : x
  2. Step 2: Convert to fraction form
    345.19/517.19 = 290.69/x
  3. Step 3: Cross multiply
    345.19x = 517.19 × 290.69
  4. Step 4: Simplify right side
    345.19x = 150,341.96
  5. Step 5: Solve for x
    x = 150,341.96/345.19
  6. Step 6: Final answer
    x = 435.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.