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Finding the Fourth Proportional to 314.84, 434.52 and 216.65

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Solution

The fourth proportional to 314.84, 434.52 and 216.65 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.84 : 434.52 = 216.65 : x
  2. Step 2: Convert to fraction form
    314.84/434.52 = 216.65/x
  3. Step 3: Cross multiply
    314.84x = 434.52 × 216.65
  4. Step 4: Simplify right side
    314.84x = 94,136.59
  5. Step 5: Solve for x
    x = 94,136.59/314.84
  6. Step 6: Final answer
    x = 299.00

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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.