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Finding the Fourth Proportional to 345.21, 515.64 and 290.54

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Solution

The fourth proportional to 345.21, 515.64 and 290.54 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.21 : 515.64 = 290.54 : x
  2. Step 2: Convert to fraction form
    345.21/515.64 = 290.54/x
  3. Step 3: Cross multiply
    345.21x = 515.64 × 290.54
  4. Step 4: Simplify right side
    345.21x = 149,811.47
  5. Step 5: Solve for x
    x = 149,811.47/345.21
  6. Step 6: Final answer
    x = 433.97

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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.