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Finding the Fourth Proportional to 464.88, 641.55 and 265.76

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Solution

The fourth proportional to 464.88, 641.55 and 265.76 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 641.55 = 265.76 : x
  2. Step 2: Convert to fraction form
    464.88/641.55 = 265.76/x
  3. Step 3: Cross multiply
    464.88x = 641.55 × 265.76
  4. Step 4: Simplify right side
    464.88x = 170,498.33
  5. Step 5: Solve for x
    x = 170,498.33/464.88
  6. Step 6: Final answer
    x = 366.76

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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.