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Finding the Fourth Proportional to 540.33, 808.42 and 297.02

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Solution

The fourth proportional to 540.33, 808.42 and 297.02 is: 444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 808.42 = 297.02 : x
  2. Step 2: Convert to fraction form
    540.33/808.42 = 297.02/x
  3. Step 3: Cross multiply
    540.33x = 808.42 × 297.02
  4. Step 4: Simplify right side
    540.33x = 240,116.91
  5. Step 5: Solve for x
    x = 240,116.91/540.33
  6. Step 6: Final answer
    x = 444.39

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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.