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Finding the Fourth Proportional to 314.76, 433.95 and 216.35

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Solution

The fourth proportional to 314.76, 433.95 and 216.35 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 433.95 = 216.35 : x
  2. Step 2: Convert to fraction form
    314.76/433.95 = 216.35/x
  3. Step 3: Cross multiply
    314.76x = 433.95 × 216.35
  4. Step 4: Simplify right side
    314.76x = 93,882.91
  5. Step 5: Solve for x
    x = 93,882.91/314.76
  6. Step 6: Final answer
    x = 298.27

Related Problems

Find fourth proportional to 157.38, 216.98 and 108.17
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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.