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Finding the Fourth Proportional to 315.28, 435.18 and 204.77

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Solution

The fourth proportional to 315.28, 435.18 and 204.77 is: 282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 435.18 = 204.77 : x
  2. Step 2: Convert to fraction form
    315.28/435.18 = 204.77/x
  3. Step 3: Cross multiply
    315.28x = 435.18 × 204.77
  4. Step 4: Simplify right side
    315.28x = 89,109.63
  5. Step 5: Solve for x
    x = 89,109.63/315.28
  6. Step 6: Final answer
    x = 282.64

Related Problems

Find fourth proportional to 157.64, 217.59 and 102.38
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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.