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Finding the Fourth Proportional to 535.96, 803.28 and 275.50

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Solution

The fourth proportional to 535.96, 803.28 and 275.50 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.96 : 803.28 = 275.50 : x
  2. Step 2: Convert to fraction form
    535.96/803.28 = 275.50/x
  3. Step 3: Cross multiply
    535.96x = 803.28 × 275.50
  4. Step 4: Simplify right side
    535.96x = 221,303.64
  5. Step 5: Solve for x
    x = 221,303.64/535.96
  6. Step 6: Final answer
    x = 412.91

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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.