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Finding the Fourth Proportional to 536.32, 740.03 and 300.28

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Solution

The fourth proportional to 536.32, 740.03 and 300.28 is: 414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 740.03 = 300.28 : x
  2. Step 2: Convert to fraction form
    536.32/740.03 = 300.28/x
  3. Step 3: Cross multiply
    536.32x = 740.03 × 300.28
  4. Step 4: Simplify right side
    536.32x = 222,212.51
  5. Step 5: Solve for x
    x = 222,212.51/536.32
  6. Step 6: Final answer
    x = 414.33

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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.