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Finding the Fourth Proportional to 540.04, 810.18 and 296.22

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Solution

The fourth proportional to 540.04, 810.18 and 296.22 is: 444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.04 : 810.18 = 296.22 : x
  2. Step 2: Convert to fraction form
    540.04/810.18 = 296.22/x
  3. Step 3: Cross multiply
    540.04x = 810.18 × 296.22
  4. Step 4: Simplify right side
    540.04x = 239,991.52
  5. Step 5: Solve for x
    x = 239,991.52/540.04
  6. Step 6: Final answer
    x = 444.40

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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.