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Finding the Fourth Proportional to 434.59, 651.04 and 241.63

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Solution

The fourth proportional to 434.59, 651.04 and 241.63 is: 361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.59 : 651.04 = 241.63 : x
  2. Step 2: Convert to fraction form
    434.59/651.04 = 241.63/x
  3. Step 3: Cross multiply
    434.59x = 651.04 × 241.63
  4. Step 4: Simplify right side
    434.59x = 157,309.47
  5. Step 5: Solve for x
    x = 157,309.47/434.59
  6. Step 6: Final answer
    x = 361.97

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Why These Related Problems?

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