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Finding the Fourth Proportional to 468.48, 702.30 and 208.31

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Solution

The fourth proportional to 468.48, 702.30 and 208.31 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 702.30 = 208.31 : x
  2. Step 2: Convert to fraction form
    468.48/702.30 = 208.31/x
  3. Step 3: Cross multiply
    468.48x = 702.30 × 208.31
  4. Step 4: Simplify right side
    468.48x = 146,297.55
  5. Step 5: Solve for x
    x = 146,297.55/468.48
  6. Step 6: Final answer
    x = 312.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.