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Finding the Fourth Proportional to 527.06, 727.15 and 330.50

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Solution

The fourth proportional to 527.06, 727.15 and 330.50 is: 455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 727.15 = 330.50 : x
  2. Step 2: Convert to fraction form
    527.06/727.15 = 330.50/x
  3. Step 3: Cross multiply
    527.06x = 727.15 × 330.50
  4. Step 4: Simplify right side
    527.06x = 240,323.08
  5. Step 5: Solve for x
    x = 240,323.08/527.06
  6. Step 6: Final answer
    x = 455.97

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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.