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Finding the Fourth Proportional to 910.13, 1,365.19 and 293.82

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Solution

The fourth proportional to 910.13, 1,365.19 and 293.82 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.13 : 1,365.19 = 293.82 : x
  2. Step 2: Convert to fraction form
    910.13/1,365.19 = 293.82/x
  3. Step 3: Cross multiply
    910.13x = 1,365.19 × 293.82
  4. Step 4: Simplify right side
    910.13x = 401,114.27
  5. Step 5: Solve for x
    x = 401,114.27/910.13
  6. Step 6: Final answer
    x = 440.72

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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.