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Finding the Fourth Proportional to 316.13, 435.24 and 301.50

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Solution

The fourth proportional to 316.13, 435.24 and 301.50 is: 415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 435.24 = 301.50 : x
  2. Step 2: Convert to fraction form
    316.13/435.24 = 301.50/x
  3. Step 3: Cross multiply
    316.13x = 435.24 × 301.50
  4. Step 4: Simplify right side
    316.13x = 131,224.86
  5. Step 5: Solve for x
    x = 131,224.86/316.13
  6. Step 6: Final answer
    x = 415.10

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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.