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Finding the Fourth Proportional to 464.02, 640.35 and 287.07

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Solution

The fourth proportional to 464.02, 640.35 and 287.07 is: 396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 640.35 = 287.07 : x
  2. Step 2: Convert to fraction form
    464.02/640.35 = 287.07/x
  3. Step 3: Cross multiply
    464.02x = 640.35 × 287.07
  4. Step 4: Simplify right side
    464.02x = 183,825.27
  5. Step 5: Solve for x
    x = 183,825.27/464.02
  6. Step 6: Final answer
    x = 396.16

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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.