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Finding the Fourth Proportional to 362.34, 545.40 and 254.88

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Solution

The fourth proportional to 362.34, 545.40 and 254.88 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 545.40 = 254.88 : x
  2. Step 2: Convert to fraction form
    362.34/545.40 = 254.88/x
  3. Step 3: Cross multiply
    362.34x = 545.40 × 254.88
  4. Step 4: Simplify right side
    362.34x = 139,011.55
  5. Step 5: Solve for x
    x = 139,011.55/362.34
  6. Step 6: Final answer
    x = 383.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.