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Finding the Fourth Proportional to 341.53, 470.55 and 316.42

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Solution

The fourth proportional to 341.53, 470.55 and 316.42 is: 435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.53 : 470.55 = 316.42 : x
  2. Step 2: Convert to fraction form
    341.53/470.55 = 316.42/x
  3. Step 3: Cross multiply
    341.53x = 470.55 × 316.42
  4. Step 4: Simplify right side
    341.53x = 148,891.43
  5. Step 5: Solve for x
    x = 148,891.43/341.53
  6. Step 6: Final answer
    x = 435.95

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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.