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Finding the Fourth Proportional to 316.33, 435.85 and 242.42

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Solution

The fourth proportional to 316.33, 435.85 and 242.42 is: 334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.33 : 435.85 = 242.42 : x
  2. Step 2: Convert to fraction form
    316.33/435.85 = 242.42/x
  3. Step 3: Cross multiply
    316.33x = 435.85 × 242.42
  4. Step 4: Simplify right side
    316.33x = 105,655.97
  5. Step 5: Solve for x
    x = 105,655.97/316.33
  6. Step 6: Final answer
    x = 334.01

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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.