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Finding the Fourth Proportional to 529.51, 730.69 and 293.46

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Solution

The fourth proportional to 529.51, 730.69 and 293.46 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.51 : 730.69 = 293.46 : x
  2. Step 2: Convert to fraction form
    529.51/730.69 = 293.46/x
  3. Step 3: Cross multiply
    529.51x = 730.69 × 293.46
  4. Step 4: Simplify right side
    529.51x = 214,428.29
  5. Step 5: Solve for x
    x = 214,428.29/529.51
  6. Step 6: Final answer
    x = 404.96

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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.