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Finding the Fourth Proportional to 536.42, 803.48 and 305.19

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Solution

The fourth proportional to 536.42, 803.48 and 305.19 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 803.48 = 305.19 : x
  2. Step 2: Convert to fraction form
    536.42/803.48 = 305.19/x
  3. Step 3: Cross multiply
    536.42x = 803.48 × 305.19
  4. Step 4: Simplify right side
    536.42x = 245,212.54
  5. Step 5: Solve for x
    x = 245,212.54/536.42
  6. Step 6: Final answer
    x = 457.13

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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.