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Finding the Fourth Proportional to 395.67, 545.80 and 285.01

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Solution

The fourth proportional to 395.67, 545.80 and 285.01 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.67 : 545.80 = 285.01 : x
  2. Step 2: Convert to fraction form
    395.67/545.80 = 285.01/x
  3. Step 3: Cross multiply
    395.67x = 545.80 × 285.01
  4. Step 4: Simplify right side
    395.67x = 155,558.46
  5. Step 5: Solve for x
    x = 155,558.46/395.67
  6. Step 6: Final answer
    x = 393.15

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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.