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Finding the Fourth Proportional to 462.98, 639.02 and 288.22

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Solution

The fourth proportional to 462.98, 639.02 and 288.22 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.98 : 639.02 = 288.22 : x
  2. Step 2: Convert to fraction form
    462.98/639.02 = 288.22/x
  3. Step 3: Cross multiply
    462.98x = 639.02 × 288.22
  4. Step 4: Simplify right side
    462.98x = 184,178.34
  5. Step 5: Solve for x
    x = 184,178.34/462.98
  6. Step 6: Final answer
    x = 397.81

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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.