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Finding the Fourth Proportional to 526.20, 788.10 and 269.40

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Solution

The fourth proportional to 526.20, 788.10 and 269.40 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 788.10 = 269.40 : x
  2. Step 2: Convert to fraction form
    526.20/788.10 = 269.40/x
  3. Step 3: Cross multiply
    526.20x = 788.10 × 269.40
  4. Step 4: Simplify right side
    526.20x = 212,314.14
  5. Step 5: Solve for x
    x = 212,314.14/526.20
  6. Step 6: Final answer
    x = 403.49

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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.