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Finding the Fourth Proportional to 540.42, 810.30 and 357.84

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Solution

The fourth proportional to 540.42, 810.30 and 357.84 is: 536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.42 : 810.30 = 357.84 : x
  2. Step 2: Convert to fraction form
    540.42/810.30 = 357.84/x
  3. Step 3: Cross multiply
    540.42x = 810.30 × 357.84
  4. Step 4: Simplify right side
    540.42x = 289,957.75
  5. Step 5: Solve for x
    x = 289,957.75/540.42
  6. Step 6: Final answer
    x = 536.54

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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.