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Finding the Fourth Proportional to 464.21, 639.95 and 287.06

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Solution

The fourth proportional to 464.21, 639.95 and 287.06 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.21 : 639.95 = 287.06 : x
  2. Step 2: Convert to fraction form
    464.21/639.95 = 287.06/x
  3. Step 3: Cross multiply
    464.21x = 639.95 × 287.06
  4. Step 4: Simplify right side
    464.21x = 183,699.41
  5. Step 5: Solve for x
    x = 183,699.41/464.21
  6. Step 6: Final answer
    x = 395.72

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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.