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Finding the Fourth Proportional to 293.29, 440.17 and 291.02

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Solution

The fourth proportional to 293.29, 440.17 and 291.02 is: 436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 440.17 = 291.02 : x
  2. Step 2: Convert to fraction form
    293.29/440.17 = 291.02/x
  3. Step 3: Cross multiply
    293.29x = 440.17 × 291.02
  4. Step 4: Simplify right side
    293.29x = 128,095.35
  5. Step 5: Solve for x
    x = 128,095.35/293.29
  6. Step 6: Final answer
    x = 436.76

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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.