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Finding the Fourth Proportional to 472.39, 651.90 and 265.39

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Solution

The fourth proportional to 472.39, 651.90 and 265.39 is: 366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.39 : 651.90 = 265.39 : x
  2. Step 2: Convert to fraction form
    472.39/651.90 = 265.39/x
  3. Step 3: Cross multiply
    472.39x = 651.90 × 265.39
  4. Step 4: Simplify right side
    472.39x = 173,007.74
  5. Step 5: Solve for x
    x = 173,007.74/472.39
  6. Step 6: Final answer
    x = 366.24

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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.