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Finding the Fourth Proportional to 395.76, 545.25 and 295.74

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Solution

The fourth proportional to 395.76, 545.25 and 295.74 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.76 : 545.25 = 295.74 : x
  2. Step 2: Convert to fraction form
    395.76/545.25 = 295.74/x
  3. Step 3: Cross multiply
    395.76x = 545.25 × 295.74
  4. Step 4: Simplify right side
    395.76x = 161,252.24
  5. Step 5: Solve for x
    x = 161,252.24/395.76
  6. Step 6: Final answer
    x = 407.45

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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.