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Finding the Fourth Proportional to 472.36, 651.84 and 262.55

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Solution

The fourth proportional to 472.36, 651.84 and 262.55 is: 362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 651.84 = 262.55 : x
  2. Step 2: Convert to fraction form
    472.36/651.84 = 262.55/x
  3. Step 3: Cross multiply
    472.36x = 651.84 × 262.55
  4. Step 4: Simplify right side
    472.36x = 171,140.59
  5. Step 5: Solve for x
    x = 171,140.59/472.36
  6. Step 6: Final answer
    x = 362.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.