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Finding the Fourth Proportional to 912.16, 1,366.82 and 364.10

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Solution

The fourth proportional to 912.16, 1,366.82 and 364.10 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.16 : 1,366.82 = 364.10 : x
  2. Step 2: Convert to fraction form
    912.16/1,366.82 = 364.10/x
  3. Step 3: Cross multiply
    912.16x = 1,366.82 × 364.10
  4. Step 4: Simplify right side
    912.16x = 497,653.92
  5. Step 5: Solve for x
    x = 497,653.92/912.16
  6. Step 6: Final answer
    x = 545.58

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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.