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Finding the Fourth Proportional to 287.33, 395.55 and 213.53

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Solution

The fourth proportional to 287.33, 395.55 and 213.53 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.33 : 395.55 = 213.53 : x
  2. Step 2: Convert to fraction form
    287.33/395.55 = 213.53/x
  3. Step 3: Cross multiply
    287.33x = 395.55 × 213.53
  4. Step 4: Simplify right side
    287.33x = 84,459.81
  5. Step 5: Solve for x
    x = 84,459.81/287.33
  6. Step 6: Final answer
    x = 293.95

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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.