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Finding the Fourth Proportional to 909.59, 1,364.38 and 260.33

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Solution

The fourth proportional to 909.59, 1,364.38 and 260.33 is: 390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.59 : 1,364.38 = 260.33 : x
  2. Step 2: Convert to fraction form
    909.59/1,364.38 = 260.33/x
  3. Step 3: Cross multiply
    909.59x = 1,364.38 × 260.33
  4. Step 4: Simplify right side
    909.59x = 355,181.57
  5. Step 5: Solve for x
    x = 355,181.57/909.59
  6. Step 6: Final answer
    x = 390.49

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1.5x scale

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.