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Finding the Fourth Proportional to 314.23, 433.66 and 216.03

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Solution

The fourth proportional to 314.23, 433.66 and 216.03 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.23 : 433.66 = 216.03 : x
  2. Step 2: Convert to fraction form
    314.23/433.66 = 216.03/x
  3. Step 3: Cross multiply
    314.23x = 433.66 × 216.03
  4. Step 4: Simplify right side
    314.23x = 93,682.49
  5. Step 5: Solve for x
    x = 93,682.49/314.23
  6. Step 6: Final answer
    x = 298.13

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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.