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Finding the Fourth Proportional to 526.24, 788.85 and 201.36

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Solution

The fourth proportional to 526.24, 788.85 and 201.36 is: 301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 788.85 = 201.36 : x
  2. Step 2: Convert to fraction form
    526.24/788.85 = 201.36/x
  3. Step 3: Cross multiply
    526.24x = 788.85 × 201.36
  4. Step 4: Simplify right side
    526.24x = 158,842.84
  5. Step 5: Solve for x
    x = 158,842.84/526.24
  6. Step 6: Final answer
    x = 301.85

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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.