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Finding the Fourth Proportional to 395.60, 545.72 and 312.44

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Solution

The fourth proportional to 395.60, 545.72 and 312.44 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 545.72 = 312.44 : x
  2. Step 2: Convert to fraction form
    395.60/545.72 = 312.44/x
  3. Step 3: Cross multiply
    395.60x = 545.72 × 312.44
  4. Step 4: Simplify right side
    395.60x = 170,504.76
  5. Step 5: Solve for x
    x = 170,504.76/395.60
  6. Step 6: Final answer
    x = 431.00

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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.