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Finding the Fourth Proportional to 526.08, 726 and 293.20

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Solution

The fourth proportional to 526.08, 726 and 293.20 is: 404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 726 = 293.20 : x
  2. Step 2: Convert to fraction form
    526.08/726 = 293.20/x
  3. Step 3: Cross multiply
    526.08x = 726 × 293.20
  4. Step 4: Simplify right side
    526.08x = 212,863.20
  5. Step 5: Solve for x
    x = 212,863.20/526.08
  6. Step 6: Final answer
    x = 404.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.