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Finding the Fourth Proportional to 315.91, 436.16 and 205.70

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Solution

The fourth proportional to 315.91, 436.16 and 205.70 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.91 : 436.16 = 205.70 : x
  2. Step 2: Convert to fraction form
    315.91/436.16 = 205.70/x
  3. Step 3: Cross multiply
    315.91x = 436.16 × 205.70
  4. Step 4: Simplify right side
    315.91x = 89,718.11
  5. Step 5: Solve for x
    x = 89,718.11/315.91
  6. Step 6: Final answer
    x = 284.00

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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.