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Finding the Fourth Proportional to 529.05, 730.14 and 293.02

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Solution

The fourth proportional to 529.05, 730.14 and 293.02 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.05 : 730.14 = 293.02 : x
  2. Step 2: Convert to fraction form
    529.05/730.14 = 293.02/x
  3. Step 3: Cross multiply
    529.05x = 730.14 × 293.02
  4. Step 4: Simplify right side
    529.05x = 213,941.97
  5. Step 5: Solve for x
    x = 213,941.97/529.05
  6. Step 6: Final answer
    x = 404.39

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1.5x scale

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.