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Finding the Fourth Proportional to 394.60, 545.22 and 312.04

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Solution

The fourth proportional to 394.60, 545.22 and 312.04 is: 431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.60 : 545.22 = 312.04 : x
  2. Step 2: Convert to fraction form
    394.60/545.22 = 312.04/x
  3. Step 3: Cross multiply
    394.60x = 545.22 × 312.04
  4. Step 4: Simplify right side
    394.60x = 170,130.45
  5. Step 5: Solve for x
    x = 170,130.45/394.60
  6. Step 6: Final answer
    x = 431.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.