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Finding the Fourth Proportional to 314.71, 434.23 and 216.50

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Solution

The fourth proportional to 314.71, 434.23 and 216.50 is: 298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.71 : 434.23 = 216.50 : x
  2. Step 2: Convert to fraction form
    314.71/434.23 = 216.50/x
  3. Step 3: Cross multiply
    314.71x = 434.23 × 216.50
  4. Step 4: Simplify right side
    314.71x = 94,008.08
  5. Step 5: Solve for x
    x = 94,008.08/314.71
  6. Step 6: Final answer
    x = 298.72

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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.