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Finding the Fourth Proportional to 303.50, 457.32 and 270.35

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Solution

The fourth proportional to 303.50, 457.32 and 270.35 is: 407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.50 : 457.32 = 270.35 : x
  2. Step 2: Convert to fraction form
    303.50/457.32 = 270.35/x
  3. Step 3: Cross multiply
    303.50x = 457.32 × 270.35
  4. Step 4: Simplify right side
    303.50x = 123,634.64
  5. Step 5: Solve for x
    x = 123,634.64/303.50
  6. Step 6: Final answer
    x = 407.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.