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Finding the Fourth Proportional to 536.68, 740.40 and 326.86

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Solution

The fourth proportional to 536.68, 740.40 and 326.86 is: 450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 740.40 = 326.86 : x
  2. Step 2: Convert to fraction form
    536.68/740.40 = 326.86/x
  3. Step 3: Cross multiply
    536.68x = 740.40 × 326.86
  4. Step 4: Simplify right side
    536.68x = 242,007.14
  5. Step 5: Solve for x
    x = 242,007.14/536.68
  6. Step 6: Final answer
    x = 450.93

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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.