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Finding the Fourth Proportional to 526.21, 788.59 and 201.13

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Solution

The fourth proportional to 526.21, 788.59 and 201.13 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.21 : 788.59 = 201.13 : x
  2. Step 2: Convert to fraction form
    526.21/788.59 = 201.13/x
  3. Step 3: Cross multiply
    526.21x = 788.59 × 201.13
  4. Step 4: Simplify right side
    526.21x = 158,609.11
  5. Step 5: Solve for x
    x = 158,609.11/526.21
  6. Step 6: Final answer
    x = 301.42

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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.