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Finding the Fourth Proportional to 463.04, 638.64 and 288.32

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Solution

The fourth proportional to 463.04, 638.64 and 288.32 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 638.64 = 288.32 : x
  2. Step 2: Convert to fraction form
    463.04/638.64 = 288.32/x
  3. Step 3: Cross multiply
    463.04x = 638.64 × 288.32
  4. Step 4: Simplify right side
    463.04x = 184,132.68
  5. Step 5: Solve for x
    x = 184,132.68/463.04
  6. Step 6: Final answer
    x = 397.66

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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.