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Finding the Fourth Proportional to 909.07, 1,363.61 and 259.81

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Solution

The fourth proportional to 909.07, 1,363.61 and 259.81 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.07 : 1,363.61 = 259.81 : x
  2. Step 2: Convert to fraction form
    909.07/1,363.61 = 259.81/x
  3. Step 3: Cross multiply
    909.07x = 1,363.61 × 259.81
  4. Step 4: Simplify right side
    909.07x = 354,279.51
  5. Step 5: Solve for x
    x = 354,279.51/909.07
  6. Step 6: Final answer
    x = 389.72

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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.