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Finding the Fourth Proportional to 540.51, 810.88 and 193.86

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Solution

The fourth proportional to 540.51, 810.88 and 193.86 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.51 : 810.88 = 193.86 : x
  2. Step 2: Convert to fraction form
    540.51/810.88 = 193.86/x
  3. Step 3: Cross multiply
    540.51x = 810.88 × 193.86
  4. Step 4: Simplify right side
    540.51x = 157,193.14
  5. Step 5: Solve for x
    x = 157,193.14/540.51
  6. Step 6: Final answer
    x = 290.82

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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.