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Finding the Fourth Proportional to 527.50, 727.40 and 350.40

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Solution

The fourth proportional to 527.50, 727.40 and 350.40 is: 483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 727.40 = 350.40 : x
  2. Step 2: Convert to fraction form
    527.50/727.40 = 350.40/x
  3. Step 3: Cross multiply
    527.50x = 727.40 × 350.40
  4. Step 4: Simplify right side
    527.50x = 254,884.56
  5. Step 5: Solve for x
    x = 254,884.56/527.50
  6. Step 6: Final answer
    x = 483.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.