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Finding the Fourth Proportional to 313.07, 469.78 and 158.99

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Solution

The fourth proportional to 313.07, 469.78 and 158.99 is: 238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.07 : 469.78 = 158.99 : x
  2. Step 2: Convert to fraction form
    313.07/469.78 = 158.99/x
  3. Step 3: Cross multiply
    313.07x = 469.78 × 158.99
  4. Step 4: Simplify right side
    313.07x = 74,687.97
  5. Step 5: Solve for x
    x = 74,687.97/313.07
  6. Step 6: Final answer
    x = 238.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.