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Finding the Fourth Proportional to 910.02, 1,365.26 and 293.72

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Solution

The fourth proportional to 910.02, 1,365.26 and 293.72 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.02 : 1,365.26 = 293.72 : x
  2. Step 2: Convert to fraction form
    910.02/1,365.26 = 293.72/x
  3. Step 3: Cross multiply
    910.02x = 1,365.26 × 293.72
  4. Step 4: Simplify right side
    910.02x = 400,995.87
  5. Step 5: Solve for x
    x = 400,995.87/910.02
  6. Step 6: Final answer
    x = 440.65

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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.