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Finding the Fourth Proportional to 472.07, 651.45 and 265.07

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Solution

The fourth proportional to 472.07, 651.45 and 265.07 is: 365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.07 : 651.45 = 265.07 : x
  2. Step 2: Convert to fraction form
    472.07/651.45 = 265.07/x
  3. Step 3: Cross multiply
    472.07x = 651.45 × 265.07
  4. Step 4: Simplify right side
    472.07x = 172,676.59
  5. Step 5: Solve for x
    x = 172,676.59/472.07
  6. Step 6: Final answer
    x = 365.79

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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.