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Finding the Fourth Proportional to 464.55, 641.01 and 265.38

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Solution

The fourth proportional to 464.55, 641.01 and 265.38 is: 366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 641.01 = 265.38 : x
  2. Step 2: Convert to fraction form
    464.55/641.01 = 265.38/x
  3. Step 3: Cross multiply
    464.55x = 641.01 × 265.38
  4. Step 4: Simplify right side
    464.55x = 170,111.23
  5. Step 5: Solve for x
    x = 170,111.23/464.55
  6. Step 6: Final answer
    x = 366.18

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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.