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Finding the Fourth Proportional to 262.01, 391.18 and 216.45

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Solution

The fourth proportional to 262.01, 391.18 and 216.45 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.01 : 391.18 = 216.45 : x
  2. Step 2: Convert to fraction form
    262.01/391.18 = 216.45/x
  3. Step 3: Cross multiply
    262.01x = 391.18 × 216.45
  4. Step 4: Simplify right side
    262.01x = 84,670.91
  5. Step 5: Solve for x
    x = 84,670.91/262.01
  6. Step 6: Final answer
    x = 323.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.