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Finding the Fourth Proportional to 527.42, 790.46 and 219.08

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Solution

The fourth proportional to 527.42, 790.46 and 219.08 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 790.46 = 219.08 : x
  2. Step 2: Convert to fraction form
    527.42/790.46 = 219.08/x
  3. Step 3: Cross multiply
    527.42x = 790.46 × 219.08
  4. Step 4: Simplify right side
    527.42x = 173,172.88
  5. Step 5: Solve for x
    x = 173,172.88/527.42
  6. Step 6: Final answer
    x = 328.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.