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Finding the Fourth Proportional to 434.11, 651.17 and 262.75

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Solution

The fourth proportional to 434.11, 651.17 and 262.75 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.11 : 651.17 = 262.75 : x
  2. Step 2: Convert to fraction form
    434.11/651.17 = 262.75/x
  3. Step 3: Cross multiply
    434.11x = 651.17 × 262.75
  4. Step 4: Simplify right side
    434.11x = 171,094.92
  5. Step 5: Solve for x
    x = 171,094.92/434.11
  6. Step 6: Final answer
    x = 394.13

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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.