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Finding the Fourth Proportional to 462.64, 638.16 and 315.34

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Solution

The fourth proportional to 462.64, 638.16 and 315.34 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 638.16 = 315.34 : x
  2. Step 2: Convert to fraction form
    462.64/638.16 = 315.34/x
  3. Step 3: Cross multiply
    462.64x = 638.16 × 315.34
  4. Step 4: Simplify right side
    462.64x = 201,237.37
  5. Step 5: Solve for x
    x = 201,237.37/462.64
  6. Step 6: Final answer
    x = 434.98

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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.