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Finding the Fourth Proportional to 340.02, 468.82 and 287.47

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Solution

The fourth proportional to 340.02, 468.82 and 287.47 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 468.82 = 287.47 : x
  2. Step 2: Convert to fraction form
    340.02/468.82 = 287.47/x
  3. Step 3: Cross multiply
    340.02x = 468.82 × 287.47
  4. Step 4: Simplify right side
    340.02x = 134,770.25
  5. Step 5: Solve for x
    x = 134,770.25/340.02
  6. Step 6: Final answer
    x = 396.36

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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.