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Finding the Fourth Proportional to 526.78, 790.11 and 142.06

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Solution

The fourth proportional to 526.78, 790.11 and 142.06 is: 213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 790.11 = 142.06 : x
  2. Step 2: Convert to fraction form
    526.78/790.11 = 142.06/x
  3. Step 3: Cross multiply
    526.78x = 790.11 × 142.06
  4. Step 4: Simplify right side
    526.78x = 112,243.03
  5. Step 5: Solve for x
    x = 112,243.03/526.78
  6. Step 6: Final answer
    x = 213.07

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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.