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Finding the Fourth Proportional to 540.84, 810.90 and 294.06

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Solution

The fourth proportional to 540.84, 810.90 and 294.06 is: 440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 810.90 = 294.06 : x
  2. Step 2: Convert to fraction form
    540.84/810.90 = 294.06/x
  3. Step 3: Cross multiply
    540.84x = 810.90 × 294.06
  4. Step 4: Simplify right side
    540.84x = 238,453.25
  5. Step 5: Solve for x
    x = 238,453.25/540.84
  6. Step 6: Final answer
    x = 440.89

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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.