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Finding the Fourth Proportional to 532.25, 798.38 and 301.16

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Solution

The fourth proportional to 532.25, 798.38 and 301.16 is: 451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.25 : 798.38 = 301.16 : x
  2. Step 2: Convert to fraction form
    532.25/798.38 = 301.16/x
  3. Step 3: Cross multiply
    532.25x = 798.38 × 301.16
  4. Step 4: Simplify right side
    532.25x = 240,438.94
  5. Step 5: Solve for x
    x = 240,438.94/532.25
  6. Step 6: Final answer
    x = 451.74

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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.