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Finding the Fourth Proportional to 526.27, 788.68 and 282.31

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Solution

The fourth proportional to 526.27, 788.68 and 282.31 is: 423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 788.68 = 282.31 : x
  2. Step 2: Convert to fraction form
    526.27/788.68 = 282.31/x
  3. Step 3: Cross multiply
    526.27x = 788.68 × 282.31
  4. Step 4: Simplify right side
    526.27x = 222,652.25
  5. Step 5: Solve for x
    x = 222,652.25/526.27
  6. Step 6: Final answer
    x = 423.08

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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.