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Finding the Fourth Proportional to 527.06, 790.47 and 142.34

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Solution

The fourth proportional to 527.06, 790.47 and 142.34 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 790.47 = 142.34 : x
  2. Step 2: Convert to fraction form
    527.06/790.47 = 142.34/x
  3. Step 3: Cross multiply
    527.06x = 790.47 × 142.34
  4. Step 4: Simplify right side
    527.06x = 112,515.50
  5. Step 5: Solve for x
    x = 112,515.50/527.06
  6. Step 6: Final answer
    x = 213.48

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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.