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Finding the Fourth Proportional to 464.74, 642.03 and 360.10

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Solution

The fourth proportional to 464.74, 642.03 and 360.10 is: 497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.74 : 642.03 = 360.10 : x
  2. Step 2: Convert to fraction form
    464.74/642.03 = 360.10/x
  3. Step 3: Cross multiply
    464.74x = 642.03 × 360.10
  4. Step 4: Simplify right side
    464.74x = 231,195.00
  5. Step 5: Solve for x
    x = 231,195.00/464.74
  6. Step 6: Final answer
    x = 497.47

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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.