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Finding the Fourth Proportional to 536.92, 740.34 and 340.12

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Solution

The fourth proportional to 536.92, 740.34 and 340.12 is: 468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 740.34 = 340.12 : x
  2. Step 2: Convert to fraction form
    536.92/740.34 = 340.12/x
  3. Step 3: Cross multiply
    536.92x = 740.34 × 340.12
  4. Step 4: Simplify right side
    536.92x = 251,804.44
  5. Step 5: Solve for x
    x = 251,804.44/536.92
  6. Step 6: Final answer
    x = 468.98

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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.