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Finding the Fourth Proportional to 526.11, 788.90 and 306.80

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Solution

The fourth proportional to 526.11, 788.90 and 306.80 is: 460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.11 : 788.90 = 306.80 : x
  2. Step 2: Convert to fraction form
    526.11/788.90 = 306.80/x
  3. Step 3: Cross multiply
    526.11x = 788.90 × 306.80
  4. Step 4: Simplify right side
    526.11x = 242,034.96
  5. Step 5: Solve for x
    x = 242,034.96/526.11
  6. Step 6: Final answer
    x = 460.05

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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.