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Finding the Fourth Proportional to 535.90, 804.10 and 292.42

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Solution

The fourth proportional to 535.90, 804.10 and 292.42 is: 438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.90 : 804.10 = 292.42 : x
  2. Step 2: Convert to fraction form
    535.90/804.10 = 292.42/x
  3. Step 3: Cross multiply
    535.90x = 804.10 × 292.42
  4. Step 4: Simplify right side
    535.90x = 235,130.90
  5. Step 5: Solve for x
    x = 235,130.90/535.90
  6. Step 6: Final answer
    x = 438.76

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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.