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Finding the Fourth Proportional to 527.98, 792.08 and 268.01

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Solution

The fourth proportional to 527.98, 792.08 and 268.01 is: 402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.98 : 792.08 = 268.01 : x
  2. Step 2: Convert to fraction form
    527.98/792.08 = 268.01/x
  3. Step 3: Cross multiply
    527.98x = 792.08 × 268.01
  4. Step 4: Simplify right side
    527.98x = 212,285.36
  5. Step 5: Solve for x
    x = 212,285.36/527.98
  6. Step 6: Final answer
    x = 402.07

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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.