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Finding the Fourth Proportional to 463.02, 639.05 and 288.38

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Solution

The fourth proportional to 463.02, 639.05 and 288.38 is: 398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 639.05 = 288.38 : x
  2. Step 2: Convert to fraction form
    463.02/639.05 = 288.38/x
  3. Step 3: Cross multiply
    463.02x = 639.05 × 288.38
  4. Step 4: Simplify right side
    463.02x = 184,284.60
  5. Step 5: Solve for x
    x = 184,284.60/463.02
  6. Step 6: Final answer
    x = 398.01

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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.