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Finding the Fourth Proportional to 468.67, 703.16 and 208.64

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Solution

The fourth proportional to 468.67, 703.16 and 208.64 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 703.16 = 208.64 : x
  2. Step 2: Convert to fraction form
    468.67/703.16 = 208.64/x
  3. Step 3: Cross multiply
    468.67x = 703.16 × 208.64
  4. Step 4: Simplify right side
    468.67x = 146,702.74
  5. Step 5: Solve for x
    x = 146,702.74/468.67
  6. Step 6: Final answer
    x = 313.02

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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.