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Finding the Fourth Proportional to 464.16, 639.71 and 381.00

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Solution

The fourth proportional to 464.16, 639.71 and 381.00 is: 525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 639.71 = 381.00 : x
  2. Step 2: Convert to fraction form
    464.16/639.71 = 381.00/x
  3. Step 3: Cross multiply
    464.16x = 639.71 × 381.00
  4. Step 4: Simplify right side
    464.16x = 243,733.58
  5. Step 5: Solve for x
    x = 243,733.58/464.16
  6. Step 6: Final answer
    x = 525.10

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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.